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Finding the Fourth Proportional to 51.47, 76.69 and 49.53

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Solution

The fourth proportional to 51.47, 76.69 and 49.53 is: 73.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.47 : 76.69 = 49.53 : x
  2. Step 2: Convert to fraction form
    51.47/76.69 = 49.53/x
  3. Step 3: Cross multiply
    51.47x = 76.69 × 49.53
  4. Step 4: Simplify right side
    51.47x = 3,798.46
  5. Step 5: Solve for x
    x = 3,798.46/51.47
  6. Step 6: Final answer
    x = 73.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.