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Finding the Fourth Proportional to 65.64, 98.07 and 52.05

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Solution

The fourth proportional to 65.64, 98.07 and 52.05 is: 77.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.64 : 98.07 = 52.05 : x
  2. Step 2: Convert to fraction form
    65.64/98.07 = 52.05/x
  3. Step 3: Cross multiply
    65.64x = 98.07 × 52.05
  4. Step 4: Simplify right side
    65.64x = 5,104.54
  5. Step 5: Solve for x
    x = 5,104.54/65.64
  6. Step 6: Final answer
    x = 77.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.