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Finding the Fourth Proportional to 102.16, 152.82 and 74.57

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Solution

The fourth proportional to 102.16, 152.82 and 74.57 is: 111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.16 : 152.82 = 74.57 : x
  2. Step 2: Convert to fraction form
    102.16/152.82 = 74.57/x
  3. Step 3: Cross multiply
    102.16x = 152.82 × 74.57
  4. Step 4: Simplify right side
    102.16x = 11,395.79
  5. Step 5: Solve for x
    x = 11,395.79/102.16
  6. Step 6: Final answer
    x = 111.55

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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.