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Finding the Fourth Proportional to 70.32, 106.14 and 70.32

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Solution

The fourth proportional to 70.32, 106.14 and 70.32 is: 106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.32 : 106.14 = 70.32 : x
  2. Step 2: Convert to fraction form
    70.32/106.14 = 70.32/x
  3. Step 3: Cross multiply
    70.32x = 106.14 × 70.32
  4. Step 4: Simplify right side
    70.32x = 7,463.41
  5. Step 5: Solve for x
    x = 7,463.41/70.32
  6. Step 6: Final answer
    x = 106.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.