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Finding the Fourth Proportional to 145.16, 200.29 and 103.69

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Solution

The fourth proportional to 145.16, 200.29 and 103.69 is: 143.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.16 : 200.29 = 103.69 : x
  2. Step 2: Convert to fraction form
    145.16/200.29 = 103.69/x
  3. Step 3: Cross multiply
    145.16x = 200.29 × 103.69
  4. Step 4: Simplify right side
    145.16x = 20,768.07
  5. Step 5: Solve for x
    x = 20,768.07/145.16
  6. Step 6: Final answer
    x = 143.07

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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.