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Finding the Fourth Proportional to 145, 200.10 and 108.19

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Solution

The fourth proportional to 145, 200.10 and 108.19 is: 149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145 : 200.10 = 108.19 : x
  2. Step 2: Convert to fraction form
    145/200.10 = 108.19/x
  3. Step 3: Cross multiply
    145x = 200.10 × 108.19
  4. Step 4: Simplify right side
    145x = 21,648.82
  5. Step 5: Solve for x
    x = 21,648.82/145
  6. Step 6: Final answer
    x = 149.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.