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Finding the Fourth Proportional to 89.64, 123.70 and 52.81

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Solution

The fourth proportional to 89.64, 123.70 and 52.81 is: 72.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.64 : 123.70 = 52.81 : x
  2. Step 2: Convert to fraction form
    89.64/123.70 = 52.81/x
  3. Step 3: Cross multiply
    89.64x = 123.70 × 52.81
  4. Step 4: Simplify right side
    89.64x = 6,532.60
  5. Step 5: Solve for x
    x = 6,532.60/89.64
  6. Step 6: Final answer
    x = 72.88

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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.