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Finding the Fourth Proportional to 145.91, 201.24 and 93.46

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Solution

The fourth proportional to 145.91, 201.24 and 93.46 is: 128.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.91 : 201.24 = 93.46 : x
  2. Step 2: Convert to fraction form
    145.91/201.24 = 93.46/x
  3. Step 3: Cross multiply
    145.91x = 201.24 × 93.46
  4. Step 4: Simplify right side
    145.91x = 18,807.89
  5. Step 5: Solve for x
    x = 18,807.89/145.91
  6. Step 6: Final answer
    x = 128.90

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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.