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Finding the Fourth Proportional to 154.64, 232.01 and 57.15

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Solution

The fourth proportional to 154.64, 232.01 and 57.15 is: 85.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.64 : 232.01 = 57.15 : x
  2. Step 2: Convert to fraction form
    154.64/232.01 = 57.15/x
  3. Step 3: Cross multiply
    154.64x = 232.01 × 57.15
  4. Step 4: Simplify right side
    154.64x = 13,259.37
  5. Step 5: Solve for x
    x = 13,259.37/154.64
  6. Step 6: Final answer
    x = 85.74

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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.