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Finding the Fourth Proportional to 52.66, 72.64 and 31.65

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Solution

The fourth proportional to 52.66, 72.64 and 31.65 is: 43.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.66 : 72.64 = 31.65 : x
  2. Step 2: Convert to fraction form
    52.66/72.64 = 31.65/x
  3. Step 3: Cross multiply
    52.66x = 72.64 × 31.65
  4. Step 4: Simplify right side
    52.66x = 2,298.57
  5. Step 5: Solve for x
    x = 2,298.57/52.66
  6. Step 6: Final answer
    x = 43.65

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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.