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Finding the Fourth Proportional to 65.67, 91.03 and 61.53

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Solution

The fourth proportional to 65.67, 91.03 and 61.53 is: 85.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.67 : 91.03 = 61.53 : x
  2. Step 2: Convert to fraction form
    65.67/91.03 = 61.53/x
  3. Step 3: Cross multiply
    65.67x = 91.03 × 61.53
  4. Step 4: Simplify right side
    65.67x = 5,601.08
  5. Step 5: Solve for x
    x = 5,601.08/65.67
  6. Step 6: Final answer
    x = 85.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.