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Finding the Fourth Proportional to 375.65, 563.41 and 101.71

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Solution

The fourth proportional to 375.65, 563.41 and 101.71 is: 152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.65 : 563.41 = 101.71 : x
  2. Step 2: Convert to fraction form
    375.65/563.41 = 101.71/x
  3. Step 3: Cross multiply
    375.65x = 563.41 × 101.71
  4. Step 4: Simplify right side
    375.65x = 57,301.61
  5. Step 5: Solve for x
    x = 57,301.61/375.65
  6. Step 6: Final answer
    x = 152.54

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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.