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Finding the Fourth Proportional to 86.56, 128.93 and 86.11

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Solution

The fourth proportional to 86.56, 128.93 and 86.11 is: 128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.56 : 128.93 = 86.11 : x
  2. Step 2: Convert to fraction form
    86.56/128.93 = 86.11/x
  3. Step 3: Cross multiply
    86.56x = 128.93 × 86.11
  4. Step 4: Simplify right side
    86.56x = 11,101.41
  5. Step 5: Solve for x
    x = 11,101.41/86.56
  6. Step 6: Final answer
    x = 128.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.