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Finding the Fourth Proportional to 102.25, 153.48 and 74.91

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Solution

The fourth proportional to 102.25, 153.48 and 74.91 is: 112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.25 : 153.48 = 74.91 : x
  2. Step 2: Convert to fraction form
    102.25/153.48 = 74.91/x
  3. Step 3: Cross multiply
    102.25x = 153.48 × 74.91
  4. Step 4: Simplify right side
    102.25x = 11,497.19
  5. Step 5: Solve for x
    x = 11,497.19/102.25
  6. Step 6: Final answer
    x = 112.44

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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.