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Finding the Fourth Proportional to 117.33, 175.84 and 105.07

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Solution

The fourth proportional to 117.33, 175.84 and 105.07 is: 157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.33 : 175.84 = 105.07 : x
  2. Step 2: Convert to fraction form
    117.33/175.84 = 105.07/x
  3. Step 3: Cross multiply
    117.33x = 175.84 × 105.07
  4. Step 4: Simplify right side
    117.33x = 18,475.51
  5. Step 5: Solve for x
    x = 18,475.51/117.33
  6. Step 6: Final answer
    x = 157.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.