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Finding the Fourth Proportional to 98.23, 147.05 and 65.65

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Solution

The fourth proportional to 98.23, 147.05 and 65.65 is: 98.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.23 : 147.05 = 65.65 : x
  2. Step 2: Convert to fraction form
    98.23/147.05 = 65.65/x
  3. Step 3: Cross multiply
    98.23x = 147.05 × 65.65
  4. Step 4: Simplify right side
    98.23x = 9,653.73
  5. Step 5: Solve for x
    x = 9,653.73/98.23
  6. Step 6: Final answer
    x = 98.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.