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Finding the Fourth Proportional to 135.84, 202.80 and 117.72

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Solution

The fourth proportional to 135.84, 202.80 and 117.72 is: 175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.84 : 202.80 = 117.72 : x
  2. Step 2: Convert to fraction form
    135.84/202.80 = 117.72/x
  3. Step 3: Cross multiply
    135.84x = 202.80 × 117.72
  4. Step 4: Simplify right side
    135.84x = 23,873.62
  5. Step 5: Solve for x
    x = 23,873.62/135.84
  6. Step 6: Final answer
    x = 175.75

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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.