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Finding the Fourth Proportional to 91.40, 137.06 and 86.40

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Solution

The fourth proportional to 91.40, 137.06 and 86.40 is: 129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.40 : 137.06 = 86.40 : x
  2. Step 2: Convert to fraction form
    91.40/137.06 = 86.40/x
  3. Step 3: Cross multiply
    91.40x = 137.06 × 86.40
  4. Step 4: Simplify right side
    91.40x = 11,841.98
  5. Step 5: Solve for x
    x = 11,841.98/91.40
  6. Step 6: Final answer
    x = 129.56

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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.