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Finding the Fourth Proportional to 145.96, 218.86 and 49.72

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Solution

The fourth proportional to 145.96, 218.86 and 49.72 is: 74.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.96 : 218.86 = 49.72 : x
  2. Step 2: Convert to fraction form
    145.96/218.86 = 49.72/x
  3. Step 3: Cross multiply
    145.96x = 218.86 × 49.72
  4. Step 4: Simplify right side
    145.96x = 10,881.72
  5. Step 5: Solve for x
    x = 10,881.72/145.96
  6. Step 6: Final answer
    x = 74.55

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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.