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Finding the Fourth Proportional to 71.02, 106.01 and 64.54

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Solution

The fourth proportional to 71.02, 106.01 and 64.54 is: 96.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.02 : 106.01 = 64.54 : x
  2. Step 2: Convert to fraction form
    71.02/106.01 = 64.54/x
  3. Step 3: Cross multiply
    71.02x = 106.01 × 64.54
  4. Step 4: Simplify right side
    71.02x = 6,841.89
  5. Step 5: Solve for x
    x = 6,841.89/71.02
  6. Step 6: Final answer
    x = 96.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.