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Finding the Fourth Proportional to 103.10, 154.71 and 72.72

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Solution

The fourth proportional to 103.10, 154.71 and 72.72 is: 109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.10 : 154.71 = 72.72 : x
  2. Step 2: Convert to fraction form
    103.10/154.71 = 72.72/x
  3. Step 3: Cross multiply
    103.10x = 154.71 × 72.72
  4. Step 4: Simplify right side
    103.10x = 11,250.51
  5. Step 5: Solve for x
    x = 11,250.51/103.10
  6. Step 6: Final answer
    x = 109.13

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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.