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Finding the Fourth Proportional to 117.58, 162.11 and 101.17

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Solution

The fourth proportional to 117.58, 162.11 and 101.17 is: 139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.58 : 162.11 = 101.17 : x
  2. Step 2: Convert to fraction form
    117.58/162.11 = 101.17/x
  3. Step 3: Cross multiply
    117.58x = 162.11 × 101.17
  4. Step 4: Simplify right side
    117.58x = 16,401.72
  5. Step 5: Solve for x
    x = 16,401.72/117.58
  6. Step 6: Final answer
    x = 139.50

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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.