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Finding the Fourth Proportional to 140.61, 210.88 and 49.27

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Solution

The fourth proportional to 140.61, 210.88 and 49.27 is: 73.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.61 : 210.88 = 49.27 : x
  2. Step 2: Convert to fraction form
    140.61/210.88 = 49.27/x
  3. Step 3: Cross multiply
    140.61x = 210.88 × 49.27
  4. Step 4: Simplify right side
    140.61x = 10,390.06
  5. Step 5: Solve for x
    x = 10,390.06/140.61
  6. Step 6: Final answer
    x = 73.89

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