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Finding the Fourth Proportional to 96.58, 144.70 and 57.95

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Solution

The fourth proportional to 96.58, 144.70 and 57.95 is: 86.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.58 : 144.70 = 57.95 : x
  2. Step 2: Convert to fraction form
    96.58/144.70 = 57.95/x
  3. Step 3: Cross multiply
    96.58x = 144.70 × 57.95
  4. Step 4: Simplify right side
    96.58x = 8,385.37
  5. Step 5: Solve for x
    x = 8,385.37/96.58
  6. Step 6: Final answer
    x = 86.82

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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.