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Finding the Fourth Proportional to 65.42, 90.29 and 54.49

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Solution

The fourth proportional to 65.42, 90.29 and 54.49 is: 75.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.42 : 90.29 = 54.49 : x
  2. Step 2: Convert to fraction form
    65.42/90.29 = 54.49/x
  3. Step 3: Cross multiply
    65.42x = 90.29 × 54.49
  4. Step 4: Simplify right side
    65.42x = 4,919.90
  5. Step 5: Solve for x
    x = 4,919.90/65.42
  6. Step 6: Final answer
    x = 75.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.