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Finding the Fourth Proportional to 98.48, 147.60 and 78.32

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Solution

The fourth proportional to 98.48, 147.60 and 78.32 is: 117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.48 : 147.60 = 78.32 : x
  2. Step 2: Convert to fraction form
    98.48/147.60 = 78.32/x
  3. Step 3: Cross multiply
    98.48x = 147.60 × 78.32
  4. Step 4: Simplify right side
    98.48x = 11,560.03
  5. Step 5: Solve for x
    x = 11,560.03/98.48
  6. Step 6: Final answer
    x = 117.38

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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.