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Finding the Fourth Proportional to 111.36, 153.58 and 76.40

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Solution

The fourth proportional to 111.36, 153.58 and 76.40 is: 105.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.36 : 153.58 = 76.40 : x
  2. Step 2: Convert to fraction form
    111.36/153.58 = 76.40/x
  3. Step 3: Cross multiply
    111.36x = 153.58 × 76.40
  4. Step 4: Simplify right side
    111.36x = 11,733.51
  5. Step 5: Solve for x
    x = 11,733.51/111.36
  6. Step 6: Final answer
    x = 105.37

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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.