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Finding the Fourth Proportional to 98.04, 147.09 and 57.48

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Solution

The fourth proportional to 98.04, 147.09 and 57.48 is: 86.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.04 : 147.09 = 57.48 : x
  2. Step 2: Convert to fraction form
    98.04/147.09 = 57.48/x
  3. Step 3: Cross multiply
    98.04x = 147.09 × 57.48
  4. Step 4: Simplify right side
    98.04x = 8,455.48
  5. Step 5: Solve for x
    x = 8,455.48/98.04
  6. Step 6: Final answer
    x = 86.25

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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.