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Finding the Fourth Proportional to 89.06, 132.53 and 86.14

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Solution

The fourth proportional to 89.06, 132.53 and 86.14 is: 128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.06 : 132.53 = 86.14 : x
  2. Step 2: Convert to fraction form
    89.06/132.53 = 86.14/x
  3. Step 3: Cross multiply
    89.06x = 132.53 × 86.14
  4. Step 4: Simplify right side
    89.06x = 11,415.47
  5. Step 5: Solve for x
    x = 11,415.47/89.06
  6. Step 6: Final answer
    x = 128.18

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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.