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Finding the Fourth Proportional to 145.45, 218.25 and 58.85

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Solution

The fourth proportional to 145.45, 218.25 and 58.85 is: 88.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.45 : 218.25 = 58.85 : x
  2. Step 2: Convert to fraction form
    145.45/218.25 = 58.85/x
  3. Step 3: Cross multiply
    145.45x = 218.25 × 58.85
  4. Step 4: Simplify right side
    145.45x = 12,842.96
  5. Step 5: Solve for x
    x = 12,842.96/145.45
  6. Step 6: Final answer
    x = 88.30

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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.