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Finding the Fourth Proportional to 102.54, 140.67 and 91.62

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Solution

The fourth proportional to 102.54, 140.67 and 91.62 is: 125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.54 : 140.67 = 91.62 : x
  2. Step 2: Convert to fraction form
    102.54/140.67 = 91.62/x
  3. Step 3: Cross multiply
    102.54x = 140.67 × 91.62
  4. Step 4: Simplify right side
    102.54x = 12,888.19
  5. Step 5: Solve for x
    x = 12,888.19/102.54
  6. Step 6: Final answer
    x = 125.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.