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Finding the Fourth Proportional to 140.52, 210.57 and 106.23

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Solution

The fourth proportional to 140.52, 210.57 and 106.23 is: 159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.52 : 210.57 = 106.23 : x
  2. Step 2: Convert to fraction form
    140.52/210.57 = 106.23/x
  3. Step 3: Cross multiply
    140.52x = 210.57 × 106.23
  4. Step 4: Simplify right side
    140.52x = 22,368.85
  5. Step 5: Solve for x
    x = 22,368.85/140.52
  6. Step 6: Final answer
    x = 159.19

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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.