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Finding the Fourth Proportional to 140.65, 210.89 and 75.59

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Solution

The fourth proportional to 140.65, 210.89 and 75.59 is: 113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.65 : 210.89 = 75.59 : x
  2. Step 2: Convert to fraction form
    140.65/210.89 = 75.59/x
  3. Step 3: Cross multiply
    140.65x = 210.89 × 75.59
  4. Step 4: Simplify right side
    140.65x = 15,941.18
  5. Step 5: Solve for x
    x = 15,941.18/140.65
  6. Step 6: Final answer
    x = 113.34

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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.