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Finding the Fourth Proportional to 72.48, 109.34 and 70.35

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Solution

The fourth proportional to 72.48, 109.34 and 70.35 is: 106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.48 : 109.34 = 70.35 : x
  2. Step 2: Convert to fraction form
    72.48/109.34 = 70.35/x
  3. Step 3: Cross multiply
    72.48x = 109.34 × 70.35
  4. Step 4: Simplify right side
    72.48x = 7,691.72
  5. Step 5: Solve for x
    x = 7,691.72/72.48
  6. Step 6: Final answer
    x = 106.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.