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Finding the Fourth Proportional to 48.56, 66.68 and 45.84

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Solution

The fourth proportional to 48.56, 66.68 and 45.84 is: 62.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.56 : 66.68 = 45.84 : x
  2. Step 2: Convert to fraction form
    48.56/66.68 = 45.84/x
  3. Step 3: Cross multiply
    48.56x = 66.68 × 45.84
  4. Step 4: Simplify right side
    48.56x = 3,056.61
  5. Step 5: Solve for x
    x = 3,056.61/48.56
  6. Step 6: Final answer
    x = 62.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.