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Finding the Fourth Proportional to 91.33, 136.88 and 50.77

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Solution

The fourth proportional to 91.33, 136.88 and 50.77 is: 76.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.33 : 136.88 = 50.77 : x
  2. Step 2: Convert to fraction form
    91.33/136.88 = 50.77/x
  3. Step 3: Cross multiply
    91.33x = 136.88 × 50.77
  4. Step 4: Simplify right side
    91.33x = 6,949.14
  5. Step 5: Solve for x
    x = 6,949.14/91.33
  6. Step 6: Final answer
    x = 76.09

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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.