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Finding the Fourth Proportional to 135.24, 201.93 and 114.93

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Solution

The fourth proportional to 135.24, 201.93 and 114.93 is: 171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.24 : 201.93 = 114.93 : x
  2. Step 2: Convert to fraction form
    135.24/201.93 = 114.93/x
  3. Step 3: Cross multiply
    135.24x = 201.93 × 114.93
  4. Step 4: Simplify right side
    135.24x = 23,207.81
  5. Step 5: Solve for x
    x = 23,207.81/135.24
  6. Step 6: Final answer
    x = 171.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.