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Finding the Fourth Proportional to 98.23, 135.54 and 73.63

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Solution

The fourth proportional to 98.23, 135.54 and 73.63 is: 101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.23 : 135.54 = 73.63 : x
  2. Step 2: Convert to fraction form
    98.23/135.54 = 73.63/x
  3. Step 3: Cross multiply
    98.23x = 135.54 × 73.63
  4. Step 4: Simplify right side
    98.23x = 9,979.22
  5. Step 5: Solve for x
    x = 9,979.22/98.23
  6. Step 6: Final answer
    x = 101.59

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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.