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Finding the Fourth Proportional to 48.39, 66.34 and 47.57

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Solution

The fourth proportional to 48.39, 66.34 and 47.57 is: 65.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.39 : 66.34 = 47.57 : x
  2. Step 2: Convert to fraction form
    48.39/66.34 = 47.57/x
  3. Step 3: Cross multiply
    48.39x = 66.34 × 47.57
  4. Step 4: Simplify right side
    48.39x = 3,155.79
  5. Step 5: Solve for x
    x = 3,155.79/48.39
  6. Step 6: Final answer
    x = 65.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.