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Finding the Fourth Proportional to 111.95, 154.47 and 65.33

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Solution

The fourth proportional to 111.95, 154.47 and 65.33 is: 90.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.95 : 154.47 = 65.33 : x
  2. Step 2: Convert to fraction form
    111.95/154.47 = 65.33/x
  3. Step 3: Cross multiply
    111.95x = 154.47 × 65.33
  4. Step 4: Simplify right side
    111.95x = 10,091.53
  5. Step 5: Solve for x
    x = 10,091.53/111.95
  6. Step 6: Final answer
    x = 90.15

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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.