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Finding the Fourth Proportional to 61.60, 92.80 and 59.20

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Solution

The fourth proportional to 61.60, 92.80 and 59.20 is: 89.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.60 : 92.80 = 59.20 : x
  2. Step 2: Convert to fraction form
    61.60/92.80 = 59.20/x
  3. Step 3: Cross multiply
    61.60x = 92.80 × 59.20
  4. Step 4: Simplify right side
    61.60x = 5,493.76
  5. Step 5: Solve for x
    x = 5,493.76/61.60
  6. Step 6: Final answer
    x = 89.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.