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Finding the Fourth Proportional to 98.84, 148.23 and 57.68

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Solution

The fourth proportional to 98.84, 148.23 and 57.68 is: 86.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.84 : 148.23 = 57.68 : x
  2. Step 2: Convert to fraction form
    98.84/148.23 = 57.68/x
  3. Step 3: Cross multiply
    98.84x = 148.23 × 57.68
  4. Step 4: Simplify right side
    98.84x = 8,549.91
  5. Step 5: Solve for x
    x = 8,549.91/98.84
  6. Step 6: Final answer
    x = 86.50

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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.