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Finding the Fourth Proportional to 107.71, 148.53 and 76.57

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Solution

The fourth proportional to 107.71, 148.53 and 76.57 is: 105.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.71 : 148.53 = 76.57 : x
  2. Step 2: Convert to fraction form
    107.71/148.53 = 76.57/x
  3. Step 3: Cross multiply
    107.71x = 148.53 × 76.57
  4. Step 4: Simplify right side
    107.71x = 11,372.94
  5. Step 5: Solve for x
    x = 11,372.94/107.71
  6. Step 6: Final answer
    x = 105.59

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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.