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Finding the Fourth Proportional to 76.53, 105.65 and 48.92

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Solution

The fourth proportional to 76.53, 105.65 and 48.92 is: 67.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.53 : 105.65 = 48.92 : x
  2. Step 2: Convert to fraction form
    76.53/105.65 = 48.92/x
  3. Step 3: Cross multiply
    76.53x = 105.65 × 48.92
  4. Step 4: Simplify right side
    76.53x = 5,167.63
  5. Step 5: Solve for x
    x = 5,167.63/76.53
  6. Step 6: Final answer
    x = 67.52

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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.