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Finding the Fourth Proportional to 117.59, 176.54 and 66.26

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Solution

The fourth proportional to 117.59, 176.54 and 66.26 is: 99.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.59 : 176.54 = 66.26 : x
  2. Step 2: Convert to fraction form
    117.59/176.54 = 66.26/x
  3. Step 3: Cross multiply
    117.59x = 176.54 × 66.26
  4. Step 4: Simplify right side
    117.59x = 11,696.33
  5. Step 5: Solve for x
    x = 11,696.33/117.59
  6. Step 6: Final answer
    x = 99.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.