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Finding the Fourth Proportional to 65.53, 98.28 and 31.30

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Solution

The fourth proportional to 65.53, 98.28 and 31.30 is: 46.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.53 : 98.28 = 31.30 : x
  2. Step 2: Convert to fraction form
    65.53/98.28 = 31.30/x
  3. Step 3: Cross multiply
    65.53x = 98.28 × 31.30
  4. Step 4: Simplify right side
    65.53x = 3,076.16
  5. Step 5: Solve for x
    x = 3,076.16/65.53
  6. Step 6: Final answer
    x = 46.94

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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.