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Finding the Fourth Proportional to 48.91, 72.95 and 48.10

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Solution

The fourth proportional to 48.91, 72.95 and 48.10 is: 71.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.91 : 72.95 = 48.10 : x
  2. Step 2: Convert to fraction form
    48.91/72.95 = 48.10/x
  3. Step 3: Cross multiply
    48.91x = 72.95 × 48.10
  4. Step 4: Simplify right side
    48.91x = 3,508.90
  5. Step 5: Solve for x
    x = 3,508.90/48.91
  6. Step 6: Final answer
    x = 71.74

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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.