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Finding the Fourth Proportional to 71.12, 97.80 and 64.16

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Solution

The fourth proportional to 71.12, 97.80 and 64.16 is: 88.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.12 : 97.80 = 64.16 : x
  2. Step 2: Convert to fraction form
    71.12/97.80 = 64.16/x
  3. Step 3: Cross multiply
    71.12x = 97.80 × 64.16
  4. Step 4: Simplify right side
    71.12x = 6,274.85
  5. Step 5: Solve for x
    x = 6,274.85/71.12
  6. Step 6: Final answer
    x = 88.23

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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.