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Finding the Fourth Proportional to 102.00, 153.07 and 41.13

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Solution

The fourth proportional to 102.00, 153.07 and 41.13 is: 61.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.00 : 153.07 = 41.13 : x
  2. Step 2: Convert to fraction form
    102.00/153.07 = 41.13/x
  3. Step 3: Cross multiply
    102.00x = 153.07 × 41.13
  4. Step 4: Simplify right side
    102.00x = 6,295.67
  5. Step 5: Solve for x
    x = 6,295.67/102.00
  6. Step 6: Final answer
    x = 61.72

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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.