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Finding the Fourth Proportional to 102.46, 153.65 and 41.57

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Solution

The fourth proportional to 102.46, 153.65 and 41.57 is: 62.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.46 : 153.65 = 41.57 : x
  2. Step 2: Convert to fraction form
    102.46/153.65 = 41.57/x
  3. Step 3: Cross multiply
    102.46x = 153.65 × 41.57
  4. Step 4: Simplify right side
    102.46x = 6,387.72
  5. Step 5: Solve for x
    x = 6,387.72/102.46
  6. Step 6: Final answer
    x = 62.35

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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.