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Finding the Fourth Proportional to 70.64, 97.64 and 51.40

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Solution

The fourth proportional to 70.64, 97.64 and 51.40 is: 71.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.64 : 97.64 = 51.40 : x
  2. Step 2: Convert to fraction form
    70.64/97.64 = 51.40/x
  3. Step 3: Cross multiply
    70.64x = 97.64 × 51.40
  4. Step 4: Simplify right side
    70.64x = 5,018.70
  5. Step 5: Solve for x
    x = 5,018.70/70.64
  6. Step 6: Final answer
    x = 71.05

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