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Finding the Fourth Proportional to 55.48, 83.57 and 49.84

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Solution

The fourth proportional to 55.48, 83.57 and 49.84 is: 75.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.48 : 83.57 = 49.84 : x
  2. Step 2: Convert to fraction form
    55.48/83.57 = 49.84/x
  3. Step 3: Cross multiply
    55.48x = 83.57 × 49.84
  4. Step 4: Simplify right side
    55.48x = 4,165.13
  5. Step 5: Solve for x
    x = 4,165.13/55.48
  6. Step 6: Final answer
    x = 75.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.