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Finding the Fourth Proportional to 89.53, 123.56 and 52.67

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Solution

The fourth proportional to 89.53, 123.56 and 52.67 is: 72.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.53 : 123.56 = 52.67 : x
  2. Step 2: Convert to fraction form
    89.53/123.56 = 52.67/x
  3. Step 3: Cross multiply
    89.53x = 123.56 × 52.67
  4. Step 4: Simplify right side
    89.53x = 6,507.02
  5. Step 5: Solve for x
    x = 6,507.02/89.53
  6. Step 6: Final answer
    x = 72.68

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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.