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Finding the Fourth Proportional to 98.23, 146.72 and 83.72

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Solution

The fourth proportional to 98.23, 146.72 and 83.72 is: 125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.23 : 146.72 = 83.72 : x
  2. Step 2: Convert to fraction form
    98.23/146.72 = 83.72/x
  3. Step 3: Cross multiply
    98.23x = 146.72 × 83.72
  4. Step 4: Simplify right side
    98.23x = 12,283.40
  5. Step 5: Solve for x
    x = 12,283.40/98.23
  6. Step 6: Final answer
    x = 125.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.