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Finding the Fourth Proportional to 145.19, 200.24 and 105.99

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Solution

The fourth proportional to 145.19, 200.24 and 105.99 is: 146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.19 : 200.24 = 105.99 : x
  2. Step 2: Convert to fraction form
    145.19/200.24 = 105.99/x
  3. Step 3: Cross multiply
    145.19x = 200.24 × 105.99
  4. Step 4: Simplify right side
    145.19x = 21,222.30
  5. Step 5: Solve for x
    x = 21,222.30/145.19
  6. Step 6: Final answer
    x = 146.17

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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.