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Finding the Fourth Proportional to 89.21, 123.12 and 52.40

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Solution

The fourth proportional to 89.21, 123.12 and 52.40 is: 72.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.21 : 123.12 = 52.40 : x
  2. Step 2: Convert to fraction form
    89.21/123.12 = 52.40/x
  3. Step 3: Cross multiply
    89.21x = 123.12 × 52.40
  4. Step 4: Simplify right side
    89.21x = 6,450.87
  5. Step 5: Solve for x
    x = 6,450.87/89.21
  6. Step 6: Final answer
    x = 72.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.