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Finding the Fourth Proportional to 140.36, 210.40 and 106.02

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Solution

The fourth proportional to 140.36, 210.40 and 106.02 is: 158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.36 : 210.40 = 106.02 : x
  2. Step 2: Convert to fraction form
    140.36/210.40 = 106.02/x
  3. Step 3: Cross multiply
    140.36x = 210.40 × 106.02
  4. Step 4: Simplify right side
    140.36x = 22,306.61
  5. Step 5: Solve for x
    x = 22,306.61/140.36
  6. Step 6: Final answer
    x = 158.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.