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Finding the Fourth Proportional to 68.41, 102.16 and 61.53

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Solution

The fourth proportional to 68.41, 102.16 and 61.53 is: 91.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.41 : 102.16 = 61.53 : x
  2. Step 2: Convert to fraction form
    68.41/102.16 = 61.53/x
  3. Step 3: Cross multiply
    68.41x = 102.16 × 61.53
  4. Step 4: Simplify right side
    68.41x = 6,285.90
  5. Step 5: Solve for x
    x = 6,285.90/68.41
  6. Step 6: Final answer
    x = 91.89

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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.