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Finding the Fourth Proportional to 102.31, 153.50 and 41.46

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Solution

The fourth proportional to 102.31, 153.50 and 41.46 is: 62.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.31 : 153.50 = 41.46 : x
  2. Step 2: Convert to fraction form
    102.31/153.50 = 41.46/x
  3. Step 3: Cross multiply
    102.31x = 153.50 × 41.46
  4. Step 4: Simplify right side
    102.31x = 6,364.19
  5. Step 5: Solve for x
    x = 6,364.19/102.31
  6. Step 6: Final answer
    x = 62.20

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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.