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Finding the Fourth Proportional to 48.88, 73.78 and 46.99

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Solution

The fourth proportional to 48.88, 73.78 and 46.99 is: 70.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.88 : 73.78 = 46.99 : x
  2. Step 2: Convert to fraction form
    48.88/73.78 = 46.99/x
  3. Step 3: Cross multiply
    48.88x = 73.78 × 46.99
  4. Step 4: Simplify right side
    48.88x = 3,466.92
  5. Step 5: Solve for x
    x = 3,466.92/48.88
  6. Step 6: Final answer
    x = 70.93

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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.