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Finding the Fourth Proportional to 64.89, 89.31 and 51.02

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Solution

The fourth proportional to 64.89, 89.31 and 51.02 is: 70.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.89 : 89.31 = 51.02 : x
  2. Step 2: Convert to fraction form
    64.89/89.31 = 51.02/x
  3. Step 3: Cross multiply
    64.89x = 89.31 × 51.02
  4. Step 4: Simplify right side
    64.89x = 4,556.60
  5. Step 5: Solve for x
    x = 4,556.60/64.89
  6. Step 6: Final answer
    x = 70.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.