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Finding the Fourth Proportional to 92.82, 128.14 and 71.66

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Solution

The fourth proportional to 92.82, 128.14 and 71.66 is: 98.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.82 : 128.14 = 71.66 : x
  2. Step 2: Convert to fraction form
    92.82/128.14 = 71.66/x
  3. Step 3: Cross multiply
    92.82x = 128.14 × 71.66
  4. Step 4: Simplify right side
    92.82x = 9,182.51
  5. Step 5: Solve for x
    x = 9,182.51/92.82
  6. Step 6: Final answer
    x = 98.93

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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.