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Finding the Fourth Proportional to 65.28, 89.76 and 56.64

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Solution

The fourth proportional to 65.28, 89.76 and 56.64 is: 77.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.28 : 89.76 = 56.64 : x
  2. Step 2: Convert to fraction form
    65.28/89.76 = 56.64/x
  3. Step 3: Cross multiply
    65.28x = 89.76 × 56.64
  4. Step 4: Simplify right side
    65.28x = 5,084.01
  5. Step 5: Solve for x
    x = 5,084.01/65.28
  6. Step 6: Final answer
    x = 77.88

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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.