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Finding the Fourth Proportional to 98.42, 147.32 and 65.94

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Solution

The fourth proportional to 98.42, 147.32 and 65.94 is: 98.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.42 : 147.32 = 65.94 : x
  2. Step 2: Convert to fraction form
    98.42/147.32 = 65.94/x
  3. Step 3: Cross multiply
    98.42x = 147.32 × 65.94
  4. Step 4: Simplify right side
    98.42x = 9,714.47
  5. Step 5: Solve for x
    x = 9,714.47/98.42
  6. Step 6: Final answer
    x = 98.71

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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.