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Finding the Fourth Proportional to 145.23, 217.82 and 86.70

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Solution

The fourth proportional to 145.23, 217.82 and 86.70 is: 130.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.23 : 217.82 = 86.70 : x
  2. Step 2: Convert to fraction form
    145.23/217.82 = 86.70/x
  3. Step 3: Cross multiply
    145.23x = 217.82 × 86.70
  4. Step 4: Simplify right side
    145.23x = 18,883.47
  5. Step 5: Solve for x
    x = 18,883.47/145.23
  6. Step 6: Final answer
    x = 130.03

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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.