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Finding the Fourth Proportional to 106.40, 159.66 and 88.58

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Solution

The fourth proportional to 106.40, 159.66 and 88.58 is: 132.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.40 : 159.66 = 88.58 : x
  2. Step 2: Convert to fraction form
    106.40/159.66 = 88.58/x
  3. Step 3: Cross multiply
    106.40x = 159.66 × 88.58
  4. Step 4: Simplify right side
    106.40x = 14,142.68
  5. Step 5: Solve for x
    x = 14,142.68/106.40
  6. Step 6: Final answer
    x = 132.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.