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Finding the Fourth Proportional to 98.78, 147.96 and 62.64

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Solution

The fourth proportional to 98.78, 147.96 and 62.64 is: 93.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.78 : 147.96 = 62.64 : x
  2. Step 2: Convert to fraction form
    98.78/147.96 = 62.64/x
  3. Step 3: Cross multiply
    98.78x = 147.96 × 62.64
  4. Step 4: Simplify right side
    98.78x = 9,268.21
  5. Step 5: Solve for x
    x = 9,268.21/98.78
  6. Step 6: Final answer
    x = 93.83

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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.