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Finding the Fourth Proportional to 99.83, 137.77 and 56.17

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Solution

The fourth proportional to 99.83, 137.77 and 56.17 is: 77.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.83 : 137.77 = 56.17 : x
  2. Step 2: Convert to fraction form
    99.83/137.77 = 56.17/x
  3. Step 3: Cross multiply
    99.83x = 137.77 × 56.17
  4. Step 4: Simplify right side
    99.83x = 7,738.54
  5. Step 5: Solve for x
    x = 7,738.54/99.83
  6. Step 6: Final answer
    x = 77.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.