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Finding the Fourth Proportional to 93.12, 127.57 and 89.66

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Solution

The fourth proportional to 93.12, 127.57 and 89.66 is: 122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.12 : 127.57 = 89.66 : x
  2. Step 2: Convert to fraction form
    93.12/127.57 = 89.66/x
  3. Step 3: Cross multiply
    93.12x = 127.57 × 89.66
  4. Step 4: Simplify right side
    93.12x = 11,437.88
  5. Step 5: Solve for x
    x = 11,437.88/93.12
  6. Step 6: Final answer
    x = 122.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.