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Finding the Fourth Proportional to 64.76, 89.42 and 51.88

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Solution

The fourth proportional to 64.76, 89.42 and 51.88 is: 71.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.76 : 89.42 = 51.88 : x
  2. Step 2: Convert to fraction form
    64.76/89.42 = 51.88/x
  3. Step 3: Cross multiply
    64.76x = 89.42 × 51.88
  4. Step 4: Simplify right side
    64.76x = 4,639.11
  5. Step 5: Solve for x
    x = 4,639.11/64.76
  6. Step 6: Final answer
    x = 71.64

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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.