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Finding the Fourth Proportional to 61.91, 85.40 and 40.07

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Solution

The fourth proportional to 61.91, 85.40 and 40.07 is: 55.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.91 : 85.40 = 40.07 : x
  2. Step 2: Convert to fraction form
    61.91/85.40 = 40.07/x
  3. Step 3: Cross multiply
    61.91x = 85.40 × 40.07
  4. Step 4: Simplify right side
    61.91x = 3,421.55
  5. Step 5: Solve for x
    x = 3,421.55/61.91
  6. Step 6: Final answer
    x = 55.27

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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.