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Finding the Fourth Proportional to 145.02, 200.16 and 86.84

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Solution

The fourth proportional to 145.02, 200.16 and 86.84 is: 119.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.02 : 200.16 = 86.84 : x
  2. Step 2: Convert to fraction form
    145.02/200.16 = 86.84/x
  3. Step 3: Cross multiply
    145.02x = 200.16 × 86.84
  4. Step 4: Simplify right side
    145.02x = 17,380.89
  5. Step 5: Solve for x
    x = 17,380.89/145.02
  6. Step 6: Final answer
    x = 119.85

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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.