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Finding the Fourth Proportional to 70.64, 105.52 and 64.58

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Solution

The fourth proportional to 70.64, 105.52 and 64.58 is: 96.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.64 : 105.52 = 64.58 : x
  2. Step 2: Convert to fraction form
    70.64/105.52 = 64.58/x
  3. Step 3: Cross multiply
    70.64x = 105.52 × 64.58
  4. Step 4: Simplify right side
    70.64x = 6,814.48
  5. Step 5: Solve for x
    x = 6,814.48/70.64
  6. Step 6: Final answer
    x = 96.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.