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Finding the Fourth Proportional to 110.32, 164.64 and 101.76

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Solution

The fourth proportional to 110.32, 164.64 and 101.76 is: 151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.32 : 164.64 = 101.76 : x
  2. Step 2: Convert to fraction form
    110.32/164.64 = 101.76/x
  3. Step 3: Cross multiply
    110.32x = 164.64 × 101.76
  4. Step 4: Simplify right side
    110.32x = 16,753.77
  5. Step 5: Solve for x
    x = 16,753.77/110.32
  6. Step 6: Final answer
    x = 151.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.