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Finding the Fourth Proportional to 48.71, 72.54 and 47.00

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Solution

The fourth proportional to 48.71, 72.54 and 47.00 is: 69.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.71 : 72.54 = 47.00 : x
  2. Step 2: Convert to fraction form
    48.71/72.54 = 47.00/x
  3. Step 3: Cross multiply
    48.71x = 72.54 × 47.00
  4. Step 4: Simplify right side
    48.71x = 3,409.02
  5. Step 5: Solve for x
    x = 3,409.02/48.71
  6. Step 6: Final answer
    x = 69.99

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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.