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Finding the Fourth Proportional to 107.30, 148.14 and 65.89

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Solution

The fourth proportional to 107.30, 148.14 and 65.89 is: 90.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.30 : 148.14 = 65.89 : x
  2. Step 2: Convert to fraction form
    107.30/148.14 = 65.89/x
  3. Step 3: Cross multiply
    107.30x = 148.14 × 65.89
  4. Step 4: Simplify right side
    107.30x = 9,760.62
  5. Step 5: Solve for x
    x = 9,760.62/107.30
  6. Step 6: Final answer
    x = 90.97

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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.