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Finding the Fourth Proportional to 117.68, 175.71 and 100.35

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Solution

The fourth proportional to 117.68, 175.71 and 100.35 is: 149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.68 : 175.71 = 100.35 : x
  2. Step 2: Convert to fraction form
    117.68/175.71 = 100.35/x
  3. Step 3: Cross multiply
    117.68x = 175.71 × 100.35
  4. Step 4: Simplify right side
    117.68x = 17,632.50
  5. Step 5: Solve for x
    x = 17,632.50/117.68
  6. Step 6: Final answer
    x = 149.84

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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.