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Finding the Fourth Proportional to 70.02, 96.57 and 53.69

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Solution

The fourth proportional to 70.02, 96.57 and 53.69 is: 74.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.02 : 96.57 = 53.69 : x
  2. Step 2: Convert to fraction form
    70.02/96.57 = 53.69/x
  3. Step 3: Cross multiply
    70.02x = 96.57 × 53.69
  4. Step 4: Simplify right side
    70.02x = 5,184.36
  5. Step 5: Solve for x
    x = 5,184.36/70.02
  6. Step 6: Final answer
    x = 74.04

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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.