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Finding the Fourth Proportional to 107.17, 160.03 and 87.95

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Solution

The fourth proportional to 107.17, 160.03 and 87.95 is: 131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.17 : 160.03 = 87.95 : x
  2. Step 2: Convert to fraction form
    107.17/160.03 = 87.95/x
  3. Step 3: Cross multiply
    107.17x = 160.03 × 87.95
  4. Step 4: Simplify right side
    107.17x = 14,074.64
  5. Step 5: Solve for x
    x = 14,074.64/107.17
  6. Step 6: Final answer
    x = 131.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.