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Finding the Fourth Proportional to 145.46, 200.60 and 98.30

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Solution

The fourth proportional to 145.46, 200.60 and 98.30 is: 135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.46 : 200.60 = 98.30 : x
  2. Step 2: Convert to fraction form
    145.46/200.60 = 98.30/x
  3. Step 3: Cross multiply
    145.46x = 200.60 × 98.30
  4. Step 4: Simplify right side
    145.46x = 19,718.99
  5. Step 5: Solve for x
    x = 19,718.99/145.46
  6. Step 6: Final answer
    x = 135.56

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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.