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Finding the Fourth Proportional to 89.33, 123.28 and 61.67

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Solution

The fourth proportional to 89.33, 123.28 and 61.67 is: 85.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.33 : 123.28 = 61.67 : x
  2. Step 2: Convert to fraction form
    89.33/123.28 = 61.67/x
  3. Step 3: Cross multiply
    89.33x = 123.28 × 61.67
  4. Step 4: Simplify right side
    89.33x = 7,602.83
  5. Step 5: Solve for x
    x = 7,602.83/89.33
  6. Step 6: Final answer
    x = 85.11

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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.