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Finding the Fourth Proportional to 78.32, 117.72 and 72.56

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Solution

The fourth proportional to 78.32, 117.72 and 72.56 is: 109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.32 : 117.72 = 72.56 : x
  2. Step 2: Convert to fraction form
    78.32/117.72 = 72.56/x
  3. Step 3: Cross multiply
    78.32x = 117.72 × 72.56
  4. Step 4: Simplify right side
    78.32x = 8,541.76
  5. Step 5: Solve for x
    x = 8,541.76/78.32
  6. Step 6: Final answer
    x = 109.06

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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.