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Finding the Fourth Proportional to 145.26, 200.39 and 95.52

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Solution

The fourth proportional to 145.26, 200.39 and 95.52 is: 131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.26 : 200.39 = 95.52 : x
  2. Step 2: Convert to fraction form
    145.26/200.39 = 95.52/x
  3. Step 3: Cross multiply
    145.26x = 200.39 × 95.52
  4. Step 4: Simplify right side
    145.26x = 19,140.02
  5. Step 5: Solve for x
    x = 19,140.02/145.26
  6. Step 6: Final answer
    x = 131.77

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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.