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Finding the Fourth Proportional to 52.76, 72.69 and 52.63

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Solution

The fourth proportional to 52.76, 72.69 and 52.63 is: 72.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.76 : 72.69 = 52.63 : x
  2. Step 2: Convert to fraction form
    52.76/72.69 = 52.63/x
  3. Step 3: Cross multiply
    52.76x = 72.69 × 52.63
  4. Step 4: Simplify right side
    52.76x = 3,825.67
  5. Step 5: Solve for x
    x = 3,825.67/52.76
  6. Step 6: Final answer
    x = 72.51

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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.