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Finding the Fourth Proportional to 98.90, 136.36 and 65.65

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Solution

The fourth proportional to 98.90, 136.36 and 65.65 is: 90.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.90 : 136.36 = 65.65 : x
  2. Step 2: Convert to fraction form
    98.90/136.36 = 65.65/x
  3. Step 3: Cross multiply
    98.90x = 136.36 × 65.65
  4. Step 4: Simplify right side
    98.90x = 8,952.03
  5. Step 5: Solve for x
    x = 8,952.03/98.90
  6. Step 6: Final answer
    x = 90.52

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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.