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Finding the Fourth Proportional to 89.04, 122.77 and 61.02

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Solution

The fourth proportional to 89.04, 122.77 and 61.02 is: 84.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.04 : 122.77 = 61.02 : x
  2. Step 2: Convert to fraction form
    89.04/122.77 = 61.02/x
  3. Step 3: Cross multiply
    89.04x = 122.77 × 61.02
  4. Step 4: Simplify right side
    89.04x = 7,491.43
  5. Step 5: Solve for x
    x = 7,491.43/89.04
  6. Step 6: Final answer
    x = 84.14

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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.