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Finding the Fourth Proportional to 135.70, 202.63 and 117.70

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Solution

The fourth proportional to 135.70, 202.63 and 117.70 is: 175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.70 : 202.63 = 117.70 : x
  2. Step 2: Convert to fraction form
    135.70/202.63 = 117.70/x
  3. Step 3: Cross multiply
    135.70x = 202.63 × 117.70
  4. Step 4: Simplify right side
    135.70x = 23,849.55
  5. Step 5: Solve for x
    x = 23,849.55/135.70
  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.