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Finding the Fourth Proportional to 91.13, 136.38 and 68.24

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Solution

The fourth proportional to 91.13, 136.38 and 68.24 is: 102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.13 : 136.38 = 68.24 : x
  2. Step 2: Convert to fraction form
    91.13/136.38 = 68.24/x
  3. Step 3: Cross multiply
    91.13x = 136.38 × 68.24
  4. Step 4: Simplify right side
    91.13x = 9,307.17
  5. Step 5: Solve for x
    x = 9,307.17/91.13
  6. Step 6: Final answer
    x = 102.14

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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.