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Finding the Fourth Proportional to 40.40, 60.32 and 35.32

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Solution

The fourth proportional to 40.40, 60.32 and 35.32 is: 52.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.40 : 60.32 = 35.32 : x
  2. Step 2: Convert to fraction form
    40.40/60.32 = 35.32/x
  3. Step 3: Cross multiply
    40.40x = 60.32 × 35.32
  4. Step 4: Simplify right side
    40.40x = 2,130.50
  5. Step 5: Solve for x
    x = 2,130.50/40.40
  6. Step 6: Final answer
    x = 52.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.