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Finding the Fourth Proportional to 106.28, 158.53 and 100.07

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Solution

The fourth proportional to 106.28, 158.53 and 100.07 is: 149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.28 : 158.53 = 100.07 : x
  2. Step 2: Convert to fraction form
    106.28/158.53 = 100.07/x
  3. Step 3: Cross multiply
    106.28x = 158.53 × 100.07
  4. Step 4: Simplify right side
    106.28x = 15,864.10
  5. Step 5: Solve for x
    x = 15,864.10/106.28
  6. Step 6: Final answer
    x = 149.27

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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.