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Finding the Fourth Proportional to 145.77, 201.20 and 112.92

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Solution

The fourth proportional to 145.77, 201.20 and 112.92 is: 155.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.77 : 201.20 = 112.92 : x
  2. Step 2: Convert to fraction form
    145.77/201.20 = 112.92/x
  3. Step 3: Cross multiply
    145.77x = 201.20 × 112.92
  4. Step 4: Simplify right side
    145.77x = 22,718.94
  5. Step 5: Solve for x
    x = 22,718.94/145.77
  6. Step 6: Final answer
    x = 155.85

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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.