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Finding the Fourth Proportional to 61.42, 84.73 and 40.72

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Solution

The fourth proportional to 61.42, 84.73 and 40.72 is: 56.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.42 : 84.73 = 40.72 : x
  2. Step 2: Convert to fraction form
    61.42/84.73 = 40.72/x
  3. Step 3: Cross multiply
    61.42x = 84.73 × 40.72
  4. Step 4: Simplify right side
    61.42x = 3,450.21
  5. Step 5: Solve for x
    x = 3,450.21/61.42
  6. Step 6: Final answer
    x = 56.17

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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.