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Finding the Fourth Proportional to 89.43, 123.33 and 56.67

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Solution

The fourth proportional to 89.43, 123.33 and 56.67 is: 78.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.43 : 123.33 = 56.67 : x
  2. Step 2: Convert to fraction form
    89.43/123.33 = 56.67/x
  3. Step 3: Cross multiply
    89.43x = 123.33 × 56.67
  4. Step 4: Simplify right side
    89.43x = 6,989.11
  5. Step 5: Solve for x
    x = 6,989.11/89.43
  6. Step 6: Final answer
    x = 78.15

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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.