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Finding the Fourth Proportional to 145.06, 200.12 and 82.87

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Solution

The fourth proportional to 145.06, 200.12 and 82.87 is: 114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.06 : 200.12 = 82.87 : x
  2. Step 2: Convert to fraction form
    145.06/200.12 = 82.87/x
  3. Step 3: Cross multiply
    145.06x = 200.12 × 82.87
  4. Step 4: Simplify right side
    145.06x = 16,583.22
  5. Step 5: Solve for x
    x = 16,583.22/145.06
  6. Step 6: Final answer
    x = 114.32

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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.