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Finding the Fourth Proportional to 145.51, 218.33 and 68.46

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Solution

The fourth proportional to 145.51, 218.33 and 68.46 is: 102.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.51 : 218.33 = 68.46 : x
  2. Step 2: Convert to fraction form
    145.51/218.33 = 68.46/x
  3. Step 3: Cross multiply
    145.51x = 218.33 × 68.46
  4. Step 4: Simplify right side
    145.51x = 14,947.20
  5. Step 5: Solve for x
    x = 14,947.20/145.51
  6. Step 6: Final answer
    x = 102.72

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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.