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Finding the Fourth Proportional to 91.23, 136.07 and 83.13

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Solution

The fourth proportional to 91.23, 136.07 and 83.13 is: 123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.23 : 136.07 = 83.13 : x
  2. Step 2: Convert to fraction form
    91.23/136.07 = 83.13/x
  3. Step 3: Cross multiply
    91.23x = 136.07 × 83.13
  4. Step 4: Simplify right side
    91.23x = 11,311.08
  5. Step 5: Solve for x
    x = 11,311.08/91.23
  6. Step 6: Final answer
    x = 123.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.