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Finding the Fourth Proportional to 145.97, 218.99 and 125.63

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Solution

The fourth proportional to 145.97, 218.99 and 125.63 is: 188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.97 : 218.99 = 125.63 : x
  2. Step 2: Convert to fraction form
    145.97/218.99 = 125.63/x
  3. Step 3: Cross multiply
    145.97x = 218.99 × 125.63
  4. Step 4: Simplify right side
    145.97x = 27,511.71
  5. Step 5: Solve for x
    x = 27,511.71/145.97
  6. Step 6: Final answer
    x = 188.48

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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.