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Finding the Fourth Proportional to 55.84, 83.77 and 19.77

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Solution

The fourth proportional to 55.84, 83.77 and 19.77 is: 29.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.84 : 83.77 = 19.77 : x
  2. Step 2: Convert to fraction form
    55.84/83.77 = 19.77/x
  3. Step 3: Cross multiply
    55.84x = 83.77 × 19.77
  4. Step 4: Simplify right side
    55.84x = 1,656.13
  5. Step 5: Solve for x
    x = 1,656.13/55.84
  6. Step 6: Final answer
    x = 29.66

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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.