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Finding the Fourth Proportional to 107.59, 147.66 and 95.66

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Solution

The fourth proportional to 107.59, 147.66 and 95.66 is: 131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.59 : 147.66 = 95.66 : x
  2. Step 2: Convert to fraction form
    107.59/147.66 = 95.66/x
  3. Step 3: Cross multiply
    107.59x = 147.66 × 95.66
  4. Step 4: Simplify right side
    107.59x = 14,125.16
  5. Step 5: Solve for x
    x = 14,125.16/107.59
  6. Step 6: Final answer
    x = 131.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.