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Finding the Fourth Proportional to 64.60, 88.76 and 61.80

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Solution

The fourth proportional to 64.60, 88.76 and 61.80 is: 84.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.60 : 88.76 = 61.80 : x
  2. Step 2: Convert to fraction form
    64.60/88.76 = 61.80/x
  3. Step 3: Cross multiply
    64.60x = 88.76 × 61.80
  4. Step 4: Simplify right side
    64.60x = 5,485.37
  5. Step 5: Solve for x
    x = 5,485.37/64.60
  6. Step 6: Final answer
    x = 84.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.