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Finding the Fourth Proportional to 145.11, 200.27 and 110.08

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Solution

The fourth proportional to 145.11, 200.27 and 110.08 is: 151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.11 : 200.27 = 110.08 : x
  2. Step 2: Convert to fraction form
    145.11/200.27 = 110.08/x
  3. Step 3: Cross multiply
    145.11x = 200.27 × 110.08
  4. Step 4: Simplify right side
    145.11x = 22,045.42
  5. Step 5: Solve for x
    x = 22,045.42/145.11
  6. Step 6: Final answer
    x = 151.93

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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.