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Finding the Fourth Proportional to 98.15, 135.23 and 73.53

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Solution

The fourth proportional to 98.15, 135.23 and 73.53 is: 101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.15 : 135.23 = 73.53 : x
  2. Step 2: Convert to fraction form
    98.15/135.23 = 73.53/x
  3. Step 3: Cross multiply
    98.15x = 135.23 × 73.53
  4. Step 4: Simplify right side
    98.15x = 9,943.09
  5. Step 5: Solve for x
    x = 9,943.09/98.15
  6. Step 6: Final answer
    x = 101.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.