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Finding the Fourth Proportional to 145, 217.86 and 114.76

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Solution

The fourth proportional to 145, 217.86 and 114.76 is: 172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145 : 217.86 = 114.76 : x
  2. Step 2: Convert to fraction form
    145/217.86 = 114.76/x
  3. Step 3: Cross multiply
    145x = 217.86 × 114.76
  4. Step 4: Simplify right side
    145x = 25,001.61
  5. Step 5: Solve for x
    x = 25,001.61/145
  6. Step 6: Final answer
    x = 172.42

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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.