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Finding the Fourth Proportional to 155.46, 233.24 and 64.11

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Solution

The fourth proportional to 155.46, 233.24 and 64.11 is: 96.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.46 : 233.24 = 64.11 : x
  2. Step 2: Convert to fraction form
    155.46/233.24 = 64.11/x
  3. Step 3: Cross multiply
    155.46x = 233.24 × 64.11
  4. Step 4: Simplify right side
    155.46x = 14,953.02
  5. Step 5: Solve for x
    x = 14,953.02/155.46
  6. Step 6: Final answer
    x = 96.19

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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.