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Finding the Fourth Proportional to 98.45, 147.55 and 47.08

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Solution

The fourth proportional to 98.45, 147.55 and 47.08 is: 70.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.45 : 147.55 = 47.08 : x
  2. Step 2: Convert to fraction form
    98.45/147.55 = 47.08/x
  3. Step 3: Cross multiply
    98.45x = 147.55 × 47.08
  4. Step 4: Simplify right side
    98.45x = 6,946.65
  5. Step 5: Solve for x
    x = 6,946.65/98.45
  6. Step 6: Final answer
    x = 70.56

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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.