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Finding the Fourth Proportional to 155.27, 232.96 and 64.02

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Solution

The fourth proportional to 155.27, 232.96 and 64.02 is: 96.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.27 : 232.96 = 64.02 : x
  2. Step 2: Convert to fraction form
    155.27/232.96 = 64.02/x
  3. Step 3: Cross multiply
    155.27x = 232.96 × 64.02
  4. Step 4: Simplify right side
    155.27x = 14,914.10
  5. Step 5: Solve for x
    x = 14,914.10/155.27
  6. Step 6: Final answer
    x = 96.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.