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Finding the Fourth Proportional to 55.19, 82.82 and 24.77

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Solution

The fourth proportional to 55.19, 82.82 and 24.77 is: 37.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.19 : 82.82 = 24.77 : x
  2. Step 2: Convert to fraction form
    55.19/82.82 = 24.77/x
  3. Step 3: Cross multiply
    55.19x = 82.82 × 24.77
  4. Step 4: Simplify right side
    55.19x = 2,051.72
  5. Step 5: Solve for x
    x = 2,051.72/55.19
  6. Step 6: Final answer
    x = 37.18

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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.