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Finding the Fourth Proportional to 104.16, 155.28 and 102.24

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Solution

The fourth proportional to 104.16, 155.28 and 102.24 is: 152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.16 : 155.28 = 102.24 : x
  2. Step 2: Convert to fraction form
    104.16/155.28 = 102.24/x
  3. Step 3: Cross multiply
    104.16x = 155.28 × 102.24
  4. Step 4: Simplify right side
    104.16x = 15,875.83
  5. Step 5: Solve for x
    x = 15,875.83/104.16
  6. Step 6: Final answer
    x = 152.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.