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Finding the Fourth Proportional to 145.58, 218.27 and 68.51

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Solution

The fourth proportional to 145.58, 218.27 and 68.51 is: 102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.58 : 218.27 = 68.51 : x
  2. Step 2: Convert to fraction form
    145.58/218.27 = 68.51/x
  3. Step 3: Cross multiply
    145.58x = 218.27 × 68.51
  4. Step 4: Simplify right side
    145.58x = 14,952.24
  5. Step 5: Solve for x
    x = 14,952.24/145.58
  6. Step 6: Final answer
    x = 102.71

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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.