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Finding the Fourth Proportional to 76.18, 105.07 and 48.52

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Solution

The fourth proportional to 76.18, 105.07 and 48.52 is: 66.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.18 : 105.07 = 48.52 : x
  2. Step 2: Convert to fraction form
    76.18/105.07 = 48.52/x
  3. Step 3: Cross multiply
    76.18x = 105.07 × 48.52
  4. Step 4: Simplify right side
    76.18x = 5,097.23
  5. Step 5: Solve for x
    x = 5,097.23/76.18
  6. Step 6: Final answer
    x = 66.91

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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.