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Finding the Fourth Proportional to 145.25, 217.95 and 58.59

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Solution

The fourth proportional to 145.25, 217.95 and 58.59 is: 87.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.25 : 217.95 = 58.59 : x
  2. Step 2: Convert to fraction form
    145.25/217.95 = 58.59/x
  3. Step 3: Cross multiply
    145.25x = 217.95 × 58.59
  4. Step 4: Simplify right side
    145.25x = 12,769.29
  5. Step 5: Solve for x
    x = 12,769.29/145.25
  6. Step 6: Final answer
    x = 87.91

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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.