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Finding the Fourth Proportional to 105.32, 158.04 and 71.16

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Solution

The fourth proportional to 105.32, 158.04 and 71.16 is: 106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.32 : 158.04 = 71.16 : x
  2. Step 2: Convert to fraction form
    105.32/158.04 = 71.16/x
  3. Step 3: Cross multiply
    105.32x = 158.04 × 71.16
  4. Step 4: Simplify right side
    105.32x = 11,246.13
  5. Step 5: Solve for x
    x = 11,246.13/105.32
  6. Step 6: Final answer
    x = 106.79

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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.