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Finding the Fourth Proportional to 145.47, 200.74 and 87.25

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Solution

The fourth proportional to 145.47, 200.74 and 87.25 is: 120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.47 : 200.74 = 87.25 : x
  2. Step 2: Convert to fraction form
    145.47/200.74 = 87.25/x
  3. Step 3: Cross multiply
    145.47x = 200.74 × 87.25
  4. Step 4: Simplify right side
    145.47x = 17,514.57
  5. Step 5: Solve for x
    x = 17,514.57/145.47
  6. Step 6: Final answer
    x = 120.40

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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.