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Finding the Fourth Proportional to 65.53, 98.22 and 29.45

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Solution

The fourth proportional to 65.53, 98.22 and 29.45 is: 44.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.53 : 98.22 = 29.45 : x
  2. Step 2: Convert to fraction form
    65.53/98.22 = 29.45/x
  3. Step 3: Cross multiply
    65.53x = 98.22 × 29.45
  4. Step 4: Simplify right side
    65.53x = 2,892.58
  5. Step 5: Solve for x
    x = 2,892.58/65.53
  6. Step 6: Final answer
    x = 44.14

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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.