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Finding the Fourth Proportional to 98.39, 147.59 and 73.02

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Solution

The fourth proportional to 98.39, 147.59 and 73.02 is: 109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.39 : 147.59 = 73.02 : x
  2. Step 2: Convert to fraction form
    98.39/147.59 = 73.02/x
  3. Step 3: Cross multiply
    98.39x = 147.59 × 73.02
  4. Step 4: Simplify right side
    98.39x = 10,776.66
  5. Step 5: Solve for x
    x = 10,776.66/98.39
  6. Step 6: Final answer
    x = 109.54

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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.