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Finding the Fourth Proportional to 89.62, 123.72 and 65.24

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Solution

The fourth proportional to 89.62, 123.72 and 65.24 is: 90.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.62 : 123.72 = 65.24 : x
  2. Step 2: Convert to fraction form
    89.62/123.72 = 65.24/x
  3. Step 3: Cross multiply
    89.62x = 123.72 × 65.24
  4. Step 4: Simplify right side
    89.62x = 8,071.49
  5. Step 5: Solve for x
    x = 8,071.49/89.62
  6. Step 6: Final answer
    x = 90.06

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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.