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Finding the Fourth Proportional to 98.89, 147.59 and 85.98

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Solution

The fourth proportional to 98.89, 147.59 and 85.98 is: 128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.89 : 147.59 = 85.98 : x
  2. Step 2: Convert to fraction form
    98.89/147.59 = 85.98/x
  3. Step 3: Cross multiply
    98.89x = 147.59 × 85.98
  4. Step 4: Simplify right side
    98.89x = 12,689.79
  5. Step 5: Solve for x
    x = 12,689.79/98.89
  6. Step 6: Final answer
    x = 128.32

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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.