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Finding the Fourth Proportional to 145.57, 218.26 and 58.84

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Solution

The fourth proportional to 145.57, 218.26 and 58.84 is: 88.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.57 : 218.26 = 58.84 : x
  2. Step 2: Convert to fraction form
    145.57/218.26 = 58.84/x
  3. Step 3: Cross multiply
    145.57x = 218.26 × 58.84
  4. Step 4: Simplify right side
    145.57x = 12,842.42
  5. Step 5: Solve for x
    x = 12,842.42/145.57
  6. Step 6: Final answer
    x = 88.22

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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.