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Finding the Fourth Proportional to 65.42, 90.29 and 36.32

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Solution

The fourth proportional to 65.42, 90.29 and 36.32 is: 50.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.42 : 90.29 = 36.32 : x
  2. Step 2: Convert to fraction form
    65.42/90.29 = 36.32/x
  3. Step 3: Cross multiply
    65.42x = 90.29 × 36.32
  4. Step 4: Simplify right side
    65.42x = 3,279.33
  5. Step 5: Solve for x
    x = 3,279.33/65.42
  6. Step 6: Final answer
    x = 50.13

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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.