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Finding the Fourth Proportional to 102.48, 152.92 and 92.30

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Solution

The fourth proportional to 102.48, 152.92 and 92.30 is: 137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.48 : 152.92 = 92.30 : x
  2. Step 2: Convert to fraction form
    102.48/152.92 = 92.30/x
  3. Step 3: Cross multiply
    102.48x = 152.92 × 92.30
  4. Step 4: Simplify right side
    102.48x = 14,114.52
  5. Step 5: Solve for x
    x = 14,114.52/102.48
  6. Step 6: Final answer
    x = 137.73

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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.