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Finding the Fourth Proportional to 145.93, 201.32 and 83.74

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Solution

The fourth proportional to 145.93, 201.32 and 83.74 is: 115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.93 : 201.32 = 83.74 : x
  2. Step 2: Convert to fraction form
    145.93/201.32 = 83.74/x
  3. Step 3: Cross multiply
    145.93x = 201.32 × 83.74
  4. Step 4: Simplify right side
    145.93x = 16,858.62
  5. Step 5: Solve for x
    x = 16,858.62/145.93
  6. Step 6: Final answer
    x = 115.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.