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Finding the Fourth Proportional to 98.85, 148.35 and 58.29

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Solution

The fourth proportional to 98.85, 148.35 and 58.29 is: 87.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.85 : 148.35 = 58.29 : x
  2. Step 2: Convert to fraction form
    98.85/148.35 = 58.29/x
  3. Step 3: Cross multiply
    98.85x = 148.35 × 58.29
  4. Step 4: Simplify right side
    98.85x = 8,647.32
  5. Step 5: Solve for x
    x = 8,647.32/98.85
  6. Step 6: Final answer
    x = 87.48

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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.