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Finding the Fourth Proportional to 48.85, 72.80 and 46.02

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Solution

The fourth proportional to 48.85, 72.80 and 46.02 is: 68.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.85 : 72.80 = 46.02 : x
  2. Step 2: Convert to fraction form
    48.85/72.80 = 46.02/x
  3. Step 3: Cross multiply
    48.85x = 72.80 × 46.02
  4. Step 4: Simplify right side
    48.85x = 3,350.26
  5. Step 5: Solve for x
    x = 3,350.26/48.85
  6. Step 6: Final answer
    x = 68.58

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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.