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Finding the Fourth Proportional to 66.42, 99.47 and 42.05

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Solution

The fourth proportional to 66.42, 99.47 and 42.05 is: 62.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.42 : 99.47 = 42.05 : x
  2. Step 2: Convert to fraction form
    66.42/99.47 = 42.05/x
  3. Step 3: Cross multiply
    66.42x = 99.47 × 42.05
  4. Step 4: Simplify right side
    66.42x = 4,182.01
  5. Step 5: Solve for x
    x = 4,182.01/66.42
  6. Step 6: Final answer
    x = 62.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.