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Finding the Fourth Proportional to 70.14, 96.60 and 64.74

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Solution

The fourth proportional to 70.14, 96.60 and 64.74 is: 89.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.14 : 96.60 = 64.74 : x
  2. Step 2: Convert to fraction form
    70.14/96.60 = 64.74/x
  3. Step 3: Cross multiply
    70.14x = 96.60 × 64.74
  4. Step 4: Simplify right side
    70.14x = 6,253.88
  5. Step 5: Solve for x
    x = 6,253.88/70.14
  6. Step 6: Final answer
    x = 89.16

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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.