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Finding the Fourth Proportional to 70.30, 96.93 and 45.71

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Solution

The fourth proportional to 70.30, 96.93 and 45.71 is: 63.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.30 : 96.93 = 45.71 : x
  2. Step 2: Convert to fraction form
    70.30/96.93 = 45.71/x
  3. Step 3: Cross multiply
    70.30x = 96.93 × 45.71
  4. Step 4: Simplify right side
    70.30x = 4,430.67
  5. Step 5: Solve for x
    x = 4,430.67/70.30
  6. Step 6: Final answer
    x = 63.03

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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.