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Finding the Fourth Proportional to 145.80, 201.21 and 83.63

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Solution

The fourth proportional to 145.80, 201.21 and 83.63 is: 115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.80 : 201.21 = 83.63 : x
  2. Step 2: Convert to fraction form
    145.80/201.21 = 83.63/x
  3. Step 3: Cross multiply
    145.80x = 201.21 × 83.63
  4. Step 4: Simplify right side
    145.80x = 16,827.19
  5. Step 5: Solve for x
    x = 16,827.19/145.80
  6. Step 6: Final answer
    x = 115.41

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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.