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Finding the Fourth Proportional to 145.86, 201.30 and 93.44

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Solution

The fourth proportional to 145.86, 201.30 and 93.44 is: 128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.86 : 201.30 = 93.44 : x
  2. Step 2: Convert to fraction form
    145.86/201.30 = 93.44/x
  3. Step 3: Cross multiply
    145.86x = 201.30 × 93.44
  4. Step 4: Simplify right side
    145.86x = 18,809.47
  5. Step 5: Solve for x
    x = 18,809.47/145.86
  6. Step 6: Final answer
    x = 128.96

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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.