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Finding the Fourth Proportional to 117.50, 162.17 and 70.88

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Solution

The fourth proportional to 117.50, 162.17 and 70.88 is: 97.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.50 : 162.17 = 70.88 : x
  2. Step 2: Convert to fraction form
    117.50/162.17 = 70.88/x
  3. Step 3: Cross multiply
    117.50x = 162.17 × 70.88
  4. Step 4: Simplify right side
    117.50x = 11,493.71
  5. Step 5: Solve for x
    x = 11,493.71/117.50
  6. Step 6: Final answer
    x = 97.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.