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Finding the Fourth Proportional to 106.52, 158.76 and 99.63

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Solution

The fourth proportional to 106.52, 158.76 and 99.63 is: 148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.52 : 158.76 = 99.63 : x
  2. Step 2: Convert to fraction form
    106.52/158.76 = 99.63/x
  3. Step 3: Cross multiply
    106.52x = 158.76 × 99.63
  4. Step 4: Simplify right side
    106.52x = 15,817.26
  5. Step 5: Solve for x
    x = 15,817.26/106.52
  6. Step 6: Final answer
    x = 148.50

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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.