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Finding the Fourth Proportional to 48.94, 72.98 and 41.76

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Solution

The fourth proportional to 48.94, 72.98 and 41.76 is: 62.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.94 : 72.98 = 41.76 : x
  2. Step 2: Convert to fraction form
    48.94/72.98 = 41.76/x
  3. Step 3: Cross multiply
    48.94x = 72.98 × 41.76
  4. Step 4: Simplify right side
    48.94x = 3,047.64
  5. Step 5: Solve for x
    x = 3,047.64/48.94
  6. Step 6: Final answer
    x = 62.27

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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.