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Finding the Fourth Proportional to 72.89, 109.14 and 61.50

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Solution

The fourth proportional to 72.89, 109.14 and 61.50 is: 92.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.89 : 109.14 = 61.50 : x
  2. Step 2: Convert to fraction form
    72.89/109.14 = 61.50/x
  3. Step 3: Cross multiply
    72.89x = 109.14 × 61.50
  4. Step 4: Simplify right side
    72.89x = 6,712.11
  5. Step 5: Solve for x
    x = 6,712.11/72.89
  6. Step 6: Final answer
    x = 92.08

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Why These Related Problems?

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