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Finding the Fourth Proportional to 70.29, 96.77 and 65.70

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Solution

The fourth proportional to 70.29, 96.77 and 65.70 is: 90.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.29 : 96.77 = 65.70 : x
  2. Step 2: Convert to fraction form
    70.29/96.77 = 65.70/x
  3. Step 3: Cross multiply
    70.29x = 96.77 × 65.70
  4. Step 4: Simplify right side
    70.29x = 6,357.95
  5. Step 5: Solve for x
    x = 6,357.95/70.29
  6. Step 6: Final answer
    x = 90.45

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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.