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Finding the Fourth Proportional to 140.34, 210.51 and 106.08

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Solution

The fourth proportional to 140.34, 210.51 and 106.08 is: 159.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.34 : 210.51 = 106.08 : x
  2. Step 2: Convert to fraction form
    140.34/210.51 = 106.08/x
  3. Step 3: Cross multiply
    140.34x = 210.51 × 106.08
  4. Step 4: Simplify right side
    140.34x = 22,330.90
  5. Step 5: Solve for x
    x = 22,330.90/140.34
  6. Step 6: Final answer
    x = 159.12

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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.