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Finding the Fourth Proportional to 64.83, 88.76 and 64.60

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Solution

The fourth proportional to 64.83, 88.76 and 64.60 is: 88.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.83 : 88.76 = 64.60 : x
  2. Step 2: Convert to fraction form
    64.83/88.76 = 64.60/x
  3. Step 3: Cross multiply
    64.83x = 88.76 × 64.60
  4. Step 4: Simplify right side
    64.83x = 5,733.56
  5. Step 5: Solve for x
    x = 5,733.56/64.83
  6. Step 6: Final answer
    x = 88.45

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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.