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Finding the Fourth Proportional to 48.61, 72.84 and 45.46

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Solution

The fourth proportional to 48.61, 72.84 and 45.46 is: 68.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.61 : 72.84 = 45.46 : x
  2. Step 2: Convert to fraction form
    48.61/72.84 = 45.46/x
  3. Step 3: Cross multiply
    48.61x = 72.84 × 45.46
  4. Step 4: Simplify right side
    48.61x = 3,311.31
  5. Step 5: Solve for x
    x = 3,311.31/48.61
  6. Step 6: Final answer
    x = 68.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.