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Finding the Fourth Proportional to 61.51, 84.40 and 59.12

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Solution

The fourth proportional to 61.51, 84.40 and 59.12 is: 81.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.51 : 84.40 = 59.12 : x
  2. Step 2: Convert to fraction form
    61.51/84.40 = 59.12/x
  3. Step 3: Cross multiply
    61.51x = 84.40 × 59.12
  4. Step 4: Simplify right side
    61.51x = 4,989.77
  5. Step 5: Solve for x
    x = 4,989.77/61.51
  6. Step 6: Final answer
    x = 81.12

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.