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Finding the Fourth Proportional to 89.14, 123.02 and 64.57

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Solution

The fourth proportional to 89.14, 123.02 and 64.57 is: 89.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.14 : 123.02 = 64.57 : x
  2. Step 2: Convert to fraction form
    89.14/123.02 = 64.57/x
  3. Step 3: Cross multiply
    89.14x = 123.02 × 64.57
  4. Step 4: Simplify right side
    89.14x = 7,943.40
  5. Step 5: Solve for x
    x = 7,943.40/89.14
  6. Step 6: Final answer
    x = 89.11

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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.