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Finding the Fourth Proportional to 117.30, 174.76 and 113.60

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Solution

The fourth proportional to 117.30, 174.76 and 113.60 is: 169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.30 : 174.76 = 113.60 : x
  2. Step 2: Convert to fraction form
    117.30/174.76 = 113.60/x
  3. Step 3: Cross multiply
    117.30x = 174.76 × 113.60
  4. Step 4: Simplify right side
    117.30x = 19,852.74
  5. Step 5: Solve for x
    x = 19,852.74/117.30
  6. Step 6: Final answer
    x = 169.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.