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Finding the Fourth Proportional to 111.45, 153.86 and 74.16

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Solution

The fourth proportional to 111.45, 153.86 and 74.16 is: 102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.45 : 153.86 = 74.16 : x
  2. Step 2: Convert to fraction form
    111.45/153.86 = 74.16/x
  3. Step 3: Cross multiply
    111.45x = 153.86 × 74.16
  4. Step 4: Simplify right side
    111.45x = 11,410.26
  5. Step 5: Solve for x
    x = 11,410.26/111.45
  6. Step 6: Final answer
    x = 102.38

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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.