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Finding the Fourth Proportional to 117.90, 161.64 and 117

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Solution

The fourth proportional to 117.90, 161.64 and 117 is: 160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.90 : 161.64 = 117 : x
  2. Step 2: Convert to fraction form
    117.90/161.64 = 117/x
  3. Step 3: Cross multiply
    117.90x = 161.64 × 117
  4. Step 4: Simplify right side
    117.90x = 18,911.88
  5. Step 5: Solve for x
    x = 18,911.88/117.90
  6. Step 6: Final answer
    x = 160.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.