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Finding the Fourth Proportional to 145.85, 201.11 and 96.64

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Solution

The fourth proportional to 145.85, 201.11 and 96.64 is: 133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.85 : 201.11 = 96.64 : x
  2. Step 2: Convert to fraction form
    145.85/201.11 = 96.64/x
  3. Step 3: Cross multiply
    145.85x = 201.11 × 96.64
  4. Step 4: Simplify right side
    145.85x = 19,435.27
  5. Step 5: Solve for x
    x = 19,435.27/145.85
  6. Step 6: Final answer
    x = 133.26

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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.