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Finding the Fourth Proportional to 91.02, 135.88 and 82.38

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Solution

The fourth proportional to 91.02, 135.88 and 82.38 is: 122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.02 : 135.88 = 82.38 : x
  2. Step 2: Convert to fraction form
    91.02/135.88 = 82.38/x
  3. Step 3: Cross multiply
    91.02x = 135.88 × 82.38
  4. Step 4: Simplify right side
    91.02x = 11,193.79
  5. Step 5: Solve for x
    x = 11,193.79/91.02
  6. Step 6: Final answer
    x = 122.98

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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.