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Finding the Fourth Proportional to 89.06, 123.13 and 61.63

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Solution

The fourth proportional to 89.06, 123.13 and 61.63 is: 85.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.06 : 123.13 = 61.63 : x
  2. Step 2: Convert to fraction form
    89.06/123.13 = 61.63/x
  3. Step 3: Cross multiply
    89.06x = 123.13 × 61.63
  4. Step 4: Simplify right side
    89.06x = 7,588.23
  5. Step 5: Solve for x
    x = 7,588.23/89.06
  6. Step 6: Final answer
    x = 85.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.