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Finding the Fourth Proportional to 106.98, 159.42 and 102.34

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Solution

The fourth proportional to 106.98, 159.42 and 102.34 is: 152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.98 : 159.42 = 102.34 : x
  2. Step 2: Convert to fraction form
    106.98/159.42 = 102.34/x
  3. Step 3: Cross multiply
    106.98x = 159.42 × 102.34
  4. Step 4: Simplify right side
    106.98x = 16,315.04
  5. Step 5: Solve for x
    x = 16,315.04/106.98
  6. Step 6: Final answer
    x = 152.51

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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.