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Finding the Fourth Proportional to 145.12, 200.10 and 120.56

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Solution

The fourth proportional to 145.12, 200.10 and 120.56 is: 166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.12 : 200.10 = 120.56 : x
  2. Step 2: Convert to fraction form
    145.12/200.10 = 120.56/x
  3. Step 3: Cross multiply
    145.12x = 200.10 × 120.56
  4. Step 4: Simplify right side
    145.12x = 24,124.06
  5. Step 5: Solve for x
    x = 24,124.06/145.12
  6. Step 6: Final answer
    x = 166.24

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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.