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Finding the Fourth Proportional to 98.15, 147.26 and 57.60

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Solution

The fourth proportional to 98.15, 147.26 and 57.60 is: 86.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.15 : 147.26 = 57.60 : x
  2. Step 2: Convert to fraction form
    98.15/147.26 = 57.60/x
  3. Step 3: Cross multiply
    98.15x = 147.26 × 57.60
  4. Step 4: Simplify right side
    98.15x = 8,482.26
  5. Step 5: Solve for x
    x = 8,482.26/98.15
  6. Step 6: Final answer
    x = 86.42

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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.