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Finding the Fourth Proportional to 112.32, 169.08 and 102.40

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Solution

The fourth proportional to 112.32, 169.08 and 102.40 is: 154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.32 : 169.08 = 102.40 : x
  2. Step 2: Convert to fraction form
    112.32/169.08 = 102.40/x
  3. Step 3: Cross multiply
    112.32x = 169.08 × 102.40
  4. Step 4: Simplify right side
    112.32x = 17,313.79
  5. Step 5: Solve for x
    x = 17,313.79/112.32
  6. Step 6: Final answer
    x = 154.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.