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Finding the Fourth Proportional to 61.08, 91.60 and 29

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Solution

The fourth proportional to 61.08, 91.60 and 29 is: 43.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.08 : 91.60 = 29 : x
  2. Step 2: Convert to fraction form
    61.08/91.60 = 29/x
  3. Step 3: Cross multiply
    61.08x = 91.60 × 29
  4. Step 4: Simplify right side
    61.08x = 2,656.40
  5. Step 5: Solve for x
    x = 2,656.40/61.08
  6. Step 6: Final answer
    x = 43.49

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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.