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Finding the Fourth Proportional to 106.90, 159.24 and 97.54

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Solution

The fourth proportional to 106.90, 159.24 and 97.54 is: 145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.90 : 159.24 = 97.54 : x
  2. Step 2: Convert to fraction form
    106.90/159.24 = 97.54/x
  3. Step 3: Cross multiply
    106.90x = 159.24 × 97.54
  4. Step 4: Simplify right side
    106.90x = 15,532.27
  5. Step 5: Solve for x
    x = 15,532.27/106.90
  6. Step 6: Final answer
    x = 145.30

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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.