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Finding the Fourth Proportional to 145.12, 200.46 and 106.54

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Solution

The fourth proportional to 145.12, 200.46 and 106.54 is: 147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.12 : 200.46 = 106.54 : x
  2. Step 2: Convert to fraction form
    145.12/200.46 = 106.54/x
  3. Step 3: Cross multiply
    145.12x = 200.46 × 106.54
  4. Step 4: Simplify right side
    145.12x = 21,357.01
  5. Step 5: Solve for x
    x = 21,357.01/145.12
  6. Step 6: Final answer
    x = 147.17

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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.