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Finding the Fourth Proportional to 117.40, 175.78 and 74.52

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Solution

The fourth proportional to 117.40, 175.78 and 74.52 is: 111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.40 : 175.78 = 74.52 : x
  2. Step 2: Convert to fraction form
    117.40/175.78 = 74.52/x
  3. Step 3: Cross multiply
    117.40x = 175.78 × 74.52
  4. Step 4: Simplify right side
    117.40x = 13,099.13
  5. Step 5: Solve for x
    x = 13,099.13/117.40
  6. Step 6: Final answer
    x = 111.58

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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.