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Finding the Fourth Proportional to 145.67, 200.76 and 104.23

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Solution

The fourth proportional to 145.67, 200.76 and 104.23 is: 143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.67 : 200.76 = 104.23 : x
  2. Step 2: Convert to fraction form
    145.67/200.76 = 104.23/x
  3. Step 3: Cross multiply
    145.67x = 200.76 × 104.23
  4. Step 4: Simplify right side
    145.67x = 20,924.21
  5. Step 5: Solve for x
    x = 20,924.21/145.67
  6. Step 6: Final answer
    x = 143.64

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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.