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Finding the Fourth Proportional to 107.91, 148.76 and 71.00

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Solution

The fourth proportional to 107.91, 148.76 and 71.00 is: 97.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.91 : 148.76 = 71.00 : x
  2. Step 2: Convert to fraction form
    107.91/148.76 = 71.00/x
  3. Step 3: Cross multiply
    107.91x = 148.76 × 71.00
  4. Step 4: Simplify right side
    107.91x = 10,562.30
  5. Step 5: Solve for x
    x = 10,562.30/107.91
  6. Step 6: Final answer
    x = 97.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.