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Finding the Fourth Proportional to 76.53, 105.63 and 45.47

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Solution

The fourth proportional to 76.53, 105.63 and 45.47 is: 62.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.53 : 105.63 = 45.47 : x
  2. Step 2: Convert to fraction form
    76.53/105.63 = 45.47/x
  3. Step 3: Cross multiply
    76.53x = 105.63 × 45.47
  4. Step 4: Simplify right side
    76.53x = 4,803.37
  5. Step 5: Solve for x
    x = 4,803.37/76.53
  6. Step 6: Final answer
    x = 62.76

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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.