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Finding the Fourth Proportional to 111.48, 167.88 and 98.76

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Solution

The fourth proportional to 111.48, 167.88 and 98.76 is: 148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.48 : 167.88 = 98.76 : x
  2. Step 2: Convert to fraction form
    111.48/167.88 = 98.76/x
  3. Step 3: Cross multiply
    111.48x = 167.88 × 98.76
  4. Step 4: Simplify right side
    111.48x = 16,579.83
  5. Step 5: Solve for x
    x = 16,579.83/111.48
  6. Step 6: Final answer
    x = 148.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.