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Finding the Fourth Proportional to 99.83, 137.73 and 64.86

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Solution

The fourth proportional to 99.83, 137.73 and 64.86 is: 89.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.83 : 137.73 = 64.86 : x
  2. Step 2: Convert to fraction form
    99.83/137.73 = 64.86/x
  3. Step 3: Cross multiply
    99.83x = 137.73 × 64.86
  4. Step 4: Simplify right side
    99.83x = 8,933.17
  5. Step 5: Solve for x
    x = 8,933.17/99.83
  6. Step 6: Final answer
    x = 89.48

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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.