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Finding the Fourth Proportional to 145.98, 201.49 and 98.69

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Solution

The fourth proportional to 145.98, 201.49 and 98.69 is: 136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.98 : 201.49 = 98.69 : x
  2. Step 2: Convert to fraction form
    145.98/201.49 = 98.69/x
  3. Step 3: Cross multiply
    145.98x = 201.49 × 98.69
  4. Step 4: Simplify right side
    145.98x = 19,886.06
  5. Step 5: Solve for x
    x = 19,886.06/145.98
  6. Step 6: Final answer
    x = 136.22

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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.