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Finding the Fourth Proportional to 102.53, 153.84 and 41.64

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Solution

The fourth proportional to 102.53, 153.84 and 41.64 is: 62.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.53 : 153.84 = 41.64 : x
  2. Step 2: Convert to fraction form
    102.53/153.84 = 41.64/x
  3. Step 3: Cross multiply
    102.53x = 153.84 × 41.64
  4. Step 4: Simplify right side
    102.53x = 6,405.90
  5. Step 5: Solve for x
    x = 6,405.90/102.53
  6. Step 6: Final answer
    x = 62.48

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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.