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Finding the Fourth Proportional to 65.52, 98.24 and 42.72

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Solution

The fourth proportional to 65.52, 98.24 and 42.72 is: 64.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.52 : 98.24 = 42.72 : x
  2. Step 2: Convert to fraction form
    65.52/98.24 = 42.72/x
  3. Step 3: Cross multiply
    65.52x = 98.24 × 42.72
  4. Step 4: Simplify right side
    65.52x = 4,196.81
  5. Step 5: Solve for x
    x = 4,196.81/65.52
  6. Step 6: Final answer
    x = 64.05

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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.