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Finding the Fourth Proportional to 98.13, 147.24 and 52.50

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Solution

The fourth proportional to 98.13, 147.24 and 52.50 is: 78.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.13 : 147.24 = 52.50 : x
  2. Step 2: Convert to fraction form
    98.13/147.24 = 52.50/x
  3. Step 3: Cross multiply
    98.13x = 147.24 × 52.50
  4. Step 4: Simplify right side
    98.13x = 7,730.10
  5. Step 5: Solve for x
    x = 7,730.10/98.13
  6. Step 6: Final answer
    x = 78.77

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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.