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Finding the Fourth Proportional to 145.54, 200.75 and 112.74

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Solution

The fourth proportional to 145.54, 200.75 and 112.74 is: 155.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.54 : 200.75 = 112.74 : x
  2. Step 2: Convert to fraction form
    145.54/200.75 = 112.74/x
  3. Step 3: Cross multiply
    145.54x = 200.75 × 112.74
  4. Step 4: Simplify right side
    145.54x = 22,632.56
  5. Step 5: Solve for x
    x = 22,632.56/145.54
  6. Step 6: Final answer
    x = 155.51

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