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Finding the Fourth Proportional to 107.31, 148.16 and 65.92

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Solution

The fourth proportional to 107.31, 148.16 and 65.92 is: 91.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.31 : 148.16 = 65.92 : x
  2. Step 2: Convert to fraction form
    107.31/148.16 = 65.92/x
  3. Step 3: Cross multiply
    107.31x = 148.16 × 65.92
  4. Step 4: Simplify right side
    107.31x = 9,766.36
  5. Step 5: Solve for x
    x = 9,766.36/107.31
  6. Step 6: Final answer
    x = 91.01

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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.