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Finding the Fourth Proportional to 91.61, 137.15 and 83.06

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Solution

The fourth proportional to 91.61, 137.15 and 83.06 is: 124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.61 : 137.15 = 83.06 : x
  2. Step 2: Convert to fraction form
    91.61/137.15 = 83.06/x
  3. Step 3: Cross multiply
    91.61x = 137.15 × 83.06
  4. Step 4: Simplify right side
    91.61x = 11,391.68
  5. Step 5: Solve for x
    x = 11,391.68/91.61
  6. Step 6: Final answer
    x = 124.35

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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.