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Finding the Fourth Proportional to 106.76, 158.88 and 102.92

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Solution

The fourth proportional to 106.76, 158.88 and 102.92 is: 153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.76 : 158.88 = 102.92 : x
  2. Step 2: Convert to fraction form
    106.76/158.88 = 102.92/x
  3. Step 3: Cross multiply
    106.76x = 158.88 × 102.92
  4. Step 4: Simplify right side
    106.76x = 16,351.93
  5. Step 5: Solve for x
    x = 16,351.93/106.76
  6. Step 6: Final answer
    x = 153.17

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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.