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Finding the Fourth Proportional to 55.42, 82.74 and 48.19

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Solution

The fourth proportional to 55.42, 82.74 and 48.19 is: 71.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.42 : 82.74 = 48.19 : x
  2. Step 2: Convert to fraction form
    55.42/82.74 = 48.19/x
  3. Step 3: Cross multiply
    55.42x = 82.74 × 48.19
  4. Step 4: Simplify right side
    55.42x = 3,987.24
  5. Step 5: Solve for x
    x = 3,987.24/55.42
  6. Step 6: Final answer
    x = 71.95

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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.