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Finding the Fourth Proportional to 98.39, 147.61 and 52.77

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Solution

The fourth proportional to 98.39, 147.61 and 52.77 is: 79.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.39 : 147.61 = 52.77 : x
  2. Step 2: Convert to fraction form
    98.39/147.61 = 52.77/x
  3. Step 3: Cross multiply
    98.39x = 147.61 × 52.77
  4. Step 4: Simplify right side
    98.39x = 7,789.38
  5. Step 5: Solve for x
    x = 7,789.38/98.39
  6. Step 6: Final answer
    x = 79.17

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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.