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Finding the Fourth Proportional to 52.65, 72.68 and 34.28

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Solution

The fourth proportional to 52.65, 72.68 and 34.28 is: 47.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.65 : 72.68 = 34.28 : x
  2. Step 2: Convert to fraction form
    52.65/72.68 = 34.28/x
  3. Step 3: Cross multiply
    52.65x = 72.68 × 34.28
  4. Step 4: Simplify right side
    52.65x = 2,491.47
  5. Step 5: Solve for x
    x = 2,491.47/52.65
  6. Step 6: Final answer
    x = 47.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.