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Finding the Fourth Proportional to 91.24, 137.02 and 57

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Solution

The fourth proportional to 91.24, 137.02 and 57 is: 85.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.24 : 137.02 = 57 : x
  2. Step 2: Convert to fraction form
    91.24/137.02 = 57/x
  3. Step 3: Cross multiply
    91.24x = 137.02 × 57
  4. Step 4: Simplify right side
    91.24x = 7,810.14
  5. Step 5: Solve for x
    x = 7,810.14/91.24
  6. Step 6: Final answer
    x = 85.60

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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.