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Finding the Fourth Proportional to 65.28, 98.08 and 56.37

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Solution

The fourth proportional to 65.28, 98.08 and 56.37 is: 84.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.28 : 98.08 = 56.37 : x
  2. Step 2: Convert to fraction form
    65.28/98.08 = 56.37/x
  3. Step 3: Cross multiply
    65.28x = 98.08 × 56.37
  4. Step 4: Simplify right side
    65.28x = 5,529.00
  5. Step 5: Solve for x
    x = 5,529.00/65.28
  6. Step 6: Final answer
    x = 84.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.