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Finding the Fourth Proportional to 110.66, 152.43 and 110.34

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Solution

The fourth proportional to 110.66, 152.43 and 110.34 is: 152.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.66 : 152.43 = 110.34 : x
  2. Step 2: Convert to fraction form
    110.66/152.43 = 110.34/x
  3. Step 3: Cross multiply
    110.66x = 152.43 × 110.34
  4. Step 4: Simplify right side
    110.66x = 16,819.13
  5. Step 5: Solve for x
    x = 16,819.13/110.66
  6. Step 6: Final answer
    x = 152.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.