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Finding the Fourth Proportional to 111.90, 154.43 and 65.27

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Solution

The fourth proportional to 111.90, 154.43 and 65.27 is: 90.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.90 : 154.43 = 65.27 : x
  2. Step 2: Convert to fraction form
    111.90/154.43 = 65.27/x
  3. Step 3: Cross multiply
    111.90x = 154.43 × 65.27
  4. Step 4: Simplify right side
    111.90x = 10,079.95
  5. Step 5: Solve for x
    x = 10,079.95/111.90
  6. Step 6: Final answer
    x = 90.08

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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.