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Finding the Fourth Proportional to 106.24, 158.52 and 99.32

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Solution

The fourth proportional to 106.24, 158.52 and 99.32 is: 148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.24 : 158.52 = 99.32 : x
  2. Step 2: Convert to fraction form
    106.24/158.52 = 99.32/x
  3. Step 3: Cross multiply
    106.24x = 158.52 × 99.32
  4. Step 4: Simplify right side
    106.24x = 15,744.21
  5. Step 5: Solve for x
    x = 15,744.21/106.24
  6. Step 6: Final answer
    x = 148.19

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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.