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Finding the Fourth Proportional to 135.90, 203.70 and 117.93

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Solution

The fourth proportional to 135.90, 203.70 and 117.93 is: 176.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.90 : 203.70 = 117.93 : x
  2. Step 2: Convert to fraction form
    135.90/203.70 = 117.93/x
  3. Step 3: Cross multiply
    135.90x = 203.70 × 117.93
  4. Step 4: Simplify right side
    135.90x = 24,022.34
  5. Step 5: Solve for x
    x = 24,022.34/135.90
  6. Step 6: Final answer
    x = 176.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.