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Finding the Fourth Proportional to 48.02, 71.69 and 47.66

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Solution

The fourth proportional to 48.02, 71.69 and 47.66 is: 71.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.02 : 71.69 = 47.66 : x
  2. Step 2: Convert to fraction form
    48.02/71.69 = 47.66/x
  3. Step 3: Cross multiply
    48.02x = 71.69 × 47.66
  4. Step 4: Simplify right side
    48.02x = 3,416.15
  5. Step 5: Solve for x
    x = 3,416.15/48.02
  6. Step 6: Final answer
    x = 71.15

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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.