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Finding the Fourth Proportional to 61.80, 85.32 and 40.03

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Solution

The fourth proportional to 61.80, 85.32 and 40.03 is: 55.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.80 : 85.32 = 40.03 : x
  2. Step 2: Convert to fraction form
    61.80/85.32 = 40.03/x
  3. Step 3: Cross multiply
    61.80x = 85.32 × 40.03
  4. Step 4: Simplify right side
    61.80x = 3,415.15
  5. Step 5: Solve for x
    x = 3,415.15/61.80
  6. Step 6: Final answer
    x = 55.26

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