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Finding the Fourth Proportional to 48.24, 71.80 and 47.12

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Solution

The fourth proportional to 48.24, 71.80 and 47.12 is: 70.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.24 : 71.80 = 47.12 : x
  2. Step 2: Convert to fraction form
    48.24/71.80 = 47.12/x
  3. Step 3: Cross multiply
    48.24x = 71.80 × 47.12
  4. Step 4: Simplify right side
    48.24x = 3,383.22
  5. Step 5: Solve for x
    x = 3,383.22/48.24
  6. Step 6: Final answer
    x = 70.13

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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.