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Finding the Fourth Proportional to 145.83, 201.20 and 83.64

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Solution

The fourth proportional to 145.83, 201.20 and 83.64 is: 115.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.83 : 201.20 = 83.64 : x
  2. Step 2: Convert to fraction form
    145.83/201.20 = 83.64/x
  3. Step 3: Cross multiply
    145.83x = 201.20 × 83.64
  4. Step 4: Simplify right side
    145.83x = 16,827.57
  5. Step 5: Solve for x
    x = 16,827.57/145.83
  6. Step 6: Final answer
    x = 115.40

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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.