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Finding the Fourth Proportional to 92.08, 138.14 and 59.57

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Solution

The fourth proportional to 92.08, 138.14 and 59.57 is: 89.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.08 : 138.14 = 59.57 : x
  2. Step 2: Convert to fraction form
    92.08/138.14 = 59.57/x
  3. Step 3: Cross multiply
    92.08x = 138.14 × 59.57
  4. Step 4: Simplify right side
    92.08x = 8,228.01
  5. Step 5: Solve for x
    x = 8,228.01/92.08
  6. Step 6: Final answer
    x = 89.36

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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.