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Finding the Fourth Proportional to 91.48, 136.64 and 83.89

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Solution

The fourth proportional to 91.48, 136.64 and 83.89 is: 125.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.48 : 136.64 = 83.89 : x
  2. Step 2: Convert to fraction form
    91.48/136.64 = 83.89/x
  3. Step 3: Cross multiply
    91.48x = 136.64 × 83.89
  4. Step 4: Simplify right side
    91.48x = 11,461.87
  5. Step 5: Solve for x
    x = 11,461.87/91.48
  6. Step 6: Final answer
    x = 125.29

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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.