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Finding the Fourth Proportional to 56.69, 85.16 and 49.00

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Solution

The fourth proportional to 56.69, 85.16 and 49.00 is: 73.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.69 : 85.16 = 49.00 : x
  2. Step 2: Convert to fraction form
    56.69/85.16 = 49.00/x
  3. Step 3: Cross multiply
    56.69x = 85.16 × 49.00
  4. Step 4: Simplify right side
    56.69x = 4,172.17
  5. Step 5: Solve for x
    x = 4,172.17/56.69
  6. Step 6: Final answer
    x = 73.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.