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Finding the Fourth Proportional to 70.48, 97.34 and 54.16

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Solution

The fourth proportional to 70.48, 97.34 and 54.16 is: 74.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.48 : 97.34 = 54.16 : x
  2. Step 2: Convert to fraction form
    70.48/97.34 = 54.16/x
  3. Step 3: Cross multiply
    70.48x = 97.34 × 54.16
  4. Step 4: Simplify right side
    70.48x = 5,271.93
  5. Step 5: Solve for x
    x = 5,271.93/70.48
  6. Step 6: Final answer
    x = 74.80

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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.