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Finding the Fourth Proportional to 116.66, 160.93 and 73.01

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Solution

The fourth proportional to 116.66, 160.93 and 73.01 is: 100.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.66 : 160.93 = 73.01 : x
  2. Step 2: Convert to fraction form
    116.66/160.93 = 73.01/x
  3. Step 3: Cross multiply
    116.66x = 160.93 × 73.01
  4. Step 4: Simplify right side
    116.66x = 11,749.50
  5. Step 5: Solve for x
    x = 11,749.50/116.66
  6. Step 6: Final answer
    x = 100.72

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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.