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Finding the Fourth Proportional to 48.86, 72.85 and 46.46

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Solution

The fourth proportional to 48.86, 72.85 and 46.46 is: 69.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.86 : 72.85 = 46.46 : x
  2. Step 2: Convert to fraction form
    48.86/72.85 = 46.46/x
  3. Step 3: Cross multiply
    48.86x = 72.85 × 46.46
  4. Step 4: Simplify right side
    48.86x = 3,384.61
  5. Step 5: Solve for x
    x = 3,384.61/48.86
  6. Step 6: Final answer
    x = 69.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.