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Finding the Fourth Proportional to 140.46, 210.72 and 49.15

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Solution

The fourth proportional to 140.46, 210.72 and 49.15 is: 73.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.46 : 210.72 = 49.15 : x
  2. Step 2: Convert to fraction form
    140.46/210.72 = 49.15/x
  3. Step 3: Cross multiply
    140.46x = 210.72 × 49.15
  4. Step 4: Simplify right side
    140.46x = 10,356.89
  5. Step 5: Solve for x
    x = 10,356.89/140.46
  6. Step 6: Final answer
    x = 73.74

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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.