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Finding the Fourth Proportional to 117.02, 161.56 and 78.23

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Solution

The fourth proportional to 117.02, 161.56 and 78.23 is: 108.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.02 : 161.56 = 78.23 : x
  2. Step 2: Convert to fraction form
    117.02/161.56 = 78.23/x
  3. Step 3: Cross multiply
    117.02x = 161.56 × 78.23
  4. Step 4: Simplify right side
    117.02x = 12,639.34
  5. Step 5: Solve for x
    x = 12,639.34/117.02
  6. Step 6: Final answer
    x = 108.01

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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.