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Finding the Fourth Proportional to 98.30, 146.73 and 86.77

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Solution

The fourth proportional to 98.30, 146.73 and 86.77 is: 129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.30 : 146.73 = 86.77 : x
  2. Step 2: Convert to fraction form
    98.30/146.73 = 86.77/x
  3. Step 3: Cross multiply
    98.30x = 146.73 × 86.77
  4. Step 4: Simplify right side
    98.30x = 12,731.76
  5. Step 5: Solve for x
    x = 12,731.76/98.30
  6. Step 6: Final answer
    x = 129.52

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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.