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Finding the Fourth Proportional to 110.18, 152.05 and 65.90

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Solution

The fourth proportional to 110.18, 152.05 and 65.90 is: 90.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.18 : 152.05 = 65.90 : x
  2. Step 2: Convert to fraction form
    110.18/152.05 = 65.90/x
  3. Step 3: Cross multiply
    110.18x = 152.05 × 65.90
  4. Step 4: Simplify right side
    110.18x = 10,020.10
  5. Step 5: Solve for x
    x = 10,020.10/110.18
  6. Step 6: Final answer
    x = 90.94

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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.