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Finding the Fourth Proportional to 71.62, 106.75 and 66.42

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Solution

The fourth proportional to 71.62, 106.75 and 66.42 is: 99.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.62 : 106.75 = 66.42 : x
  2. Step 2: Convert to fraction form
    71.62/106.75 = 66.42/x
  3. Step 3: Cross multiply
    71.62x = 106.75 × 66.42
  4. Step 4: Simplify right side
    71.62x = 7,090.34
  5. Step 5: Solve for x
    x = 7,090.34/71.62
  6. Step 6: Final answer
    x = 99.00

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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.