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Finding the Fourth Proportional to 89.50, 123.53 and 57.98

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Solution

The fourth proportional to 89.50, 123.53 and 57.98 is: 80.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.50 : 123.53 = 57.98 : x
  2. Step 2: Convert to fraction form
    89.50/123.53 = 57.98/x
  3. Step 3: Cross multiply
    89.50x = 123.53 × 57.98
  4. Step 4: Simplify right side
    89.50x = 7,162.29
  5. Step 5: Solve for x
    x = 7,162.29/89.50
  6. Step 6: Final answer
    x = 80.03

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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.