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Finding the Fourth Proportional to 67.59, 101.35 and 31.02

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Solution

The fourth proportional to 67.59, 101.35 and 31.02 is: 46.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.59 : 101.35 = 31.02 : x
  2. Step 2: Convert to fraction form
    67.59/101.35 = 31.02/x
  3. Step 3: Cross multiply
    67.59x = 101.35 × 31.02
  4. Step 4: Simplify right side
    67.59x = 3,143.72
  5. Step 5: Solve for x
    x = 3,143.72/67.59
  6. Step 6: Final answer
    x = 46.52

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