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Finding the Fourth Proportional to 116, 160 and 72.26

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Solution

The fourth proportional to 116, 160 and 72.26 is: 99.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116 : 160 = 72.26 : x
  2. Step 2: Convert to fraction form
    116/160 = 72.26/x
  3. Step 3: Cross multiply
    116x = 160 × 72.26
  4. Step 4: Simplify right side
    116x = 11,561.60
  5. Step 5: Solve for x
    x = 11,561.60/116
  6. Step 6: Final answer
    x = 99.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.