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Finding the Fourth Proportional to 145.42, 200.62 and 87.18

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Solution

The fourth proportional to 145.42, 200.62 and 87.18 is: 120.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.42 : 200.62 = 87.18 : x
  2. Step 2: Convert to fraction form
    145.42/200.62 = 87.18/x
  3. Step 3: Cross multiply
    145.42x = 200.62 × 87.18
  4. Step 4: Simplify right side
    145.42x = 17,490.05
  5. Step 5: Solve for x
    x = 17,490.05/145.42
  6. Step 6: Final answer
    x = 120.27

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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.