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Finding the Fourth Proportional to 117.24, 174.72 and 110.28

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Solution

The fourth proportional to 117.24, 174.72 and 110.28 is: 164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.24 : 174.72 = 110.28 : x
  2. Step 2: Convert to fraction form
    117.24/174.72 = 110.28/x
  3. Step 3: Cross multiply
    117.24x = 174.72 × 110.28
  4. Step 4: Simplify right side
    117.24x = 19,268.12
  5. Step 5: Solve for x
    x = 19,268.12/117.24
  6. Step 6: Final answer
    x = 164.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.