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Finding the Fourth Proportional to 145.83, 201.25 and 99.12

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Solution

The fourth proportional to 145.83, 201.25 and 99.12 is: 136.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.83 : 201.25 = 99.12 : x
  2. Step 2: Convert to fraction form
    145.83/201.25 = 99.12/x
  3. Step 3: Cross multiply
    145.83x = 201.25 × 99.12
  4. Step 4: Simplify right side
    145.83x = 19,948.78
  5. Step 5: Solve for x
    x = 19,948.78/145.83
  6. Step 6: Final answer
    x = 136.79

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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.