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Finding the Fourth Proportional to 89.83, 123.58 and 73.42

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Solution

The fourth proportional to 89.83, 123.58 and 73.42 is: 101.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.83 : 123.58 = 73.42 : x
  2. Step 2: Convert to fraction form
    89.83/123.58 = 73.42/x
  3. Step 3: Cross multiply
    89.83x = 123.58 × 73.42
  4. Step 4: Simplify right side
    89.83x = 9,073.24
  5. Step 5: Solve for x
    x = 9,073.24/89.83
  6. Step 6: Final answer
    x = 101.00

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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.