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Finding the Fourth Proportional to 135.02, 201.54 and 111.93

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Solution

The fourth proportional to 135.02, 201.54 and 111.93 is: 167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.02 : 201.54 = 111.93 : x
  2. Step 2: Convert to fraction form
    135.02/201.54 = 111.93/x
  3. Step 3: Cross multiply
    135.02x = 201.54 × 111.93
  4. Step 4: Simplify right side
    135.02x = 22,558.37
  5. Step 5: Solve for x
    x = 22,558.37/135.02
  6. Step 6: Final answer
    x = 167.07

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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.