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Finding the Fourth Proportional to 155.37, 233.07 and 57.84

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Solution

The fourth proportional to 155.37, 233.07 and 57.84 is: 86.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.37 : 233.07 = 57.84 : x
  2. Step 2: Convert to fraction form
    155.37/233.07 = 57.84/x
  3. Step 3: Cross multiply
    155.37x = 233.07 × 57.84
  4. Step 4: Simplify right side
    155.37x = 13,480.77
  5. Step 5: Solve for x
    x = 13,480.77/155.37
  6. Step 6: Final answer
    x = 86.77

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