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Finding the Fourth Proportional to 66.08, 99.52 and 56.66

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Solution

The fourth proportional to 66.08, 99.52 and 56.66 is: 85.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.08 : 99.52 = 56.66 : x
  2. Step 2: Convert to fraction form
    66.08/99.52 = 56.66/x
  3. Step 3: Cross multiply
    66.08x = 99.52 × 56.66
  4. Step 4: Simplify right side
    66.08x = 5,638.80
  5. Step 5: Solve for x
    x = 5,638.80/66.08
  6. Step 6: Final answer
    x = 85.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.