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Finding the Fourth Proportional to 145.10, 200.16 and 100.82

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Solution

The fourth proportional to 145.10, 200.16 and 100.82 is: 139.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.10 : 200.16 = 100.82 : x
  2. Step 2: Convert to fraction form
    145.10/200.16 = 100.82/x
  3. Step 3: Cross multiply
    145.10x = 200.16 × 100.82
  4. Step 4: Simplify right side
    145.10x = 20,180.13
  5. Step 5: Solve for x
    x = 20,180.13/145.10
  6. Step 6: Final answer
    x = 139.08

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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.