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Finding the Fourth Proportional to 145.88, 201.25 and 87.63

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Solution

The fourth proportional to 145.88, 201.25 and 87.63 is: 120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.88 : 201.25 = 87.63 : x
  2. Step 2: Convert to fraction form
    145.88/201.25 = 87.63/x
  3. Step 3: Cross multiply
    145.88x = 201.25 × 87.63
  4. Step 4: Simplify right side
    145.88x = 17,635.54
  5. Step 5: Solve for x
    x = 17,635.54/145.88
  6. Step 6: Final answer
    x = 120.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.