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Finding the Fourth Proportional to 98.56, 148.01 and 58.23

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Solution

The fourth proportional to 98.56, 148.01 and 58.23 is: 87.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.56 : 148.01 = 58.23 : x
  2. Step 2: Convert to fraction form
    98.56/148.01 = 58.23/x
  3. Step 3: Cross multiply
    98.56x = 148.01 × 58.23
  4. Step 4: Simplify right side
    98.56x = 8,618.33
  5. Step 5: Solve for x
    x = 8,618.33/98.56
  6. Step 6: Final answer
    x = 87.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.