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Finding the Fourth Proportional to 145.37, 200.21 and 101.63

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Solution

The fourth proportional to 145.37, 200.21 and 101.63 is: 139.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.37 : 200.21 = 101.63 : x
  2. Step 2: Convert to fraction form
    145.37/200.21 = 101.63/x
  3. Step 3: Cross multiply
    145.37x = 200.21 × 101.63
  4. Step 4: Simplify right side
    145.37x = 20,347.33
  5. Step 5: Solve for x
    x = 20,347.33/145.37
  6. Step 6: Final answer
    x = 139.97

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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.