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Finding the Fourth Proportional to 111.56, 154.06 and 89.78

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Solution

The fourth proportional to 111.56, 154.06 and 89.78 is: 123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.56 : 154.06 = 89.78 : x
  2. Step 2: Convert to fraction form
    111.56/154.06 = 89.78/x
  3. Step 3: Cross multiply
    111.56x = 154.06 × 89.78
  4. Step 4: Simplify right side
    111.56x = 13,831.51
  5. Step 5: Solve for x
    x = 13,831.51/111.56
  6. Step 6: Final answer
    x = 123.98

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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.