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Finding the Fourth Proportional to 99.36, 148.34 and 83.83

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Solution

The fourth proportional to 99.36, 148.34 and 83.83 is: 125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.36 : 148.34 = 83.83 : x
  2. Step 2: Convert to fraction form
    99.36/148.34 = 83.83/x
  3. Step 3: Cross multiply
    99.36x = 148.34 × 83.83
  4. Step 4: Simplify right side
    99.36x = 12,435.34
  5. Step 5: Solve for x
    x = 12,435.34/99.36
  6. Step 6: Final answer
    x = 125.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.