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Finding the Fourth Proportional to 102.53, 153.84 and 37.55

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Solution

The fourth proportional to 102.53, 153.84 and 37.55 is: 56.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.53 : 153.84 = 37.55 : x
  2. Step 2: Convert to fraction form
    102.53/153.84 = 37.55/x
  3. Step 3: Cross multiply
    102.53x = 153.84 × 37.55
  4. Step 4: Simplify right side
    102.53x = 5,775.92
  5. Step 5: Solve for x
    x = 5,775.92/102.53
  6. Step 6: Final answer
    x = 56.34

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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.