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Finding the Fourth Proportional to 117.46, 175.94 and 56.50

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Solution

The fourth proportional to 117.46, 175.94 and 56.50 is: 84.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.46 : 175.94 = 56.50 : x
  2. Step 2: Convert to fraction form
    117.46/175.94 = 56.50/x
  3. Step 3: Cross multiply
    117.46x = 175.94 × 56.50
  4. Step 4: Simplify right side
    117.46x = 9,940.61
  5. Step 5: Solve for x
    x = 9,940.61/117.46
  6. Step 6: Final answer
    x = 84.63

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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.