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Finding the Fourth Proportional to 107.29, 148.04 and 78.13

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Solution

The fourth proportional to 107.29, 148.04 and 78.13 is: 107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.29 : 148.04 = 78.13 : x
  2. Step 2: Convert to fraction form
    107.29/148.04 = 78.13/x
  3. Step 3: Cross multiply
    107.29x = 148.04 × 78.13
  4. Step 4: Simplify right side
    107.29x = 11,565.63
  5. Step 5: Solve for x
    x = 11,565.63/107.29
  6. Step 6: Final answer
    x = 107.80

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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.