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Finding the Fourth Proportional to 112.11, 154.69 and 65.47

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Solution

The fourth proportional to 112.11, 154.69 and 65.47 is: 90.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.11 : 154.69 = 65.47 : x
  2. Step 2: Convert to fraction form
    112.11/154.69 = 65.47/x
  3. Step 3: Cross multiply
    112.11x = 154.69 × 65.47
  4. Step 4: Simplify right side
    112.11x = 10,127.55
  5. Step 5: Solve for x
    x = 10,127.55/112.11
  6. Step 6: Final answer
    x = 90.34

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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.