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Finding the Fourth Proportional to 91.42, 136.91 and 57.08

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Solution

The fourth proportional to 91.42, 136.91 and 57.08 is: 85.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.42 : 136.91 = 57.08 : x
  2. Step 2: Convert to fraction form
    91.42/136.91 = 57.08/x
  3. Step 3: Cross multiply
    91.42x = 136.91 × 57.08
  4. Step 4: Simplify right side
    91.42x = 7,815.31
  5. Step 5: Solve for x
    x = 7,815.31/91.42
  6. Step 6: Final answer
    x = 85.49

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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.