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Finding the Fourth Proportional to 98.83, 136.32 and 65.19

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Solution

The fourth proportional to 98.83, 136.32 and 65.19 is: 89.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.83 : 136.32 = 65.19 : x
  2. Step 2: Convert to fraction form
    98.83/136.32 = 65.19/x
  3. Step 3: Cross multiply
    98.83x = 136.32 × 65.19
  4. Step 4: Simplify right side
    98.83x = 8,886.70
  5. Step 5: Solve for x
    x = 8,886.70/98.83
  6. Step 6: Final answer
    x = 89.92

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Why These Related Problems?

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