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Finding the Fourth Proportional to 145.83, 201.22 and 109.02

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Solution

The fourth proportional to 145.83, 201.22 and 109.02 is: 150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.83 : 201.22 = 109.02 : x
  2. Step 2: Convert to fraction form
    145.83/201.22 = 109.02/x
  3. Step 3: Cross multiply
    145.83x = 201.22 × 109.02
  4. Step 4: Simplify right side
    145.83x = 21,937.00
  5. Step 5: Solve for x
    x = 21,937.00/145.83
  6. Step 6: Final answer
    x = 150.43

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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.