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Finding the Fourth Proportional to 110.03, 151.82 and 65.76

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Solution

The fourth proportional to 110.03, 151.82 and 65.76 is: 90.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.03 : 151.82 = 65.76 : x
  2. Step 2: Convert to fraction form
    110.03/151.82 = 65.76/x
  3. Step 3: Cross multiply
    110.03x = 151.82 × 65.76
  4. Step 4: Simplify right side
    110.03x = 9,983.85
  5. Step 5: Solve for x
    x = 9,983.85/110.03
  6. Step 6: Final answer
    x = 90.74

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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.