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Finding the Fourth Proportional to 72.32, 107.71 and 71.24

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Solution

The fourth proportional to 72.32, 107.71 and 71.24 is: 106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.32 : 107.71 = 71.24 : x
  2. Step 2: Convert to fraction form
    72.32/107.71 = 71.24/x
  3. Step 3: Cross multiply
    72.32x = 107.71 × 71.24
  4. Step 4: Simplify right side
    72.32x = 7,672.54
  5. Step 5: Solve for x
    x = 7,672.54/72.32
  6. Step 6: Final answer
    x = 106.10

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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.