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Finding the Fourth Proportional to 49.48, 74.55 and 41.10

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Solution

The fourth proportional to 49.48, 74.55 and 41.10 is: 61.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.48 : 74.55 = 41.10 : x
  2. Step 2: Convert to fraction form
    49.48/74.55 = 41.10/x
  3. Step 3: Cross multiply
    49.48x = 74.55 × 41.10
  4. Step 4: Simplify right side
    49.48x = 3,064.01
  5. Step 5: Solve for x
    x = 3,064.01/49.48
  6. Step 6: Final answer
    x = 61.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.