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Finding the Fourth Proportional to 145.09, 200.01 and 120.08

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Solution

The fourth proportional to 145.09, 200.01 and 120.08 is: 165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.09 : 200.01 = 120.08 : x
  2. Step 2: Convert to fraction form
    145.09/200.01 = 120.08/x
  3. Step 3: Cross multiply
    145.09x = 200.01 × 120.08
  4. Step 4: Simplify right side
    145.09x = 24,017.20
  5. Step 5: Solve for x
    x = 24,017.20/145.09
  6. Step 6: Final answer
    x = 165.53

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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.