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Finding the Fourth Proportional to 116.30, 160.52 and 72.06

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Solution

The fourth proportional to 116.30, 160.52 and 72.06 is: 99.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.30 : 160.52 = 72.06 : x
  2. Step 2: Convert to fraction form
    116.30/160.52 = 72.06/x
  3. Step 3: Cross multiply
    116.30x = 160.52 × 72.06
  4. Step 4: Simplify right side
    116.30x = 11,567.07
  5. Step 5: Solve for x
    x = 11,567.07/116.30
  6. Step 6: Final answer
    x = 99.46

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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.