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Finding the Fourth Proportional to 56.65, 85.15 and 47.08

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Solution

The fourth proportional to 56.65, 85.15 and 47.08 is: 70.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.65 : 85.15 = 47.08 : x
  2. Step 2: Convert to fraction form
    56.65/85.15 = 47.08/x
  3. Step 3: Cross multiply
    56.65x = 85.15 × 47.08
  4. Step 4: Simplify right side
    56.65x = 4,009.03
  5. Step 5: Solve for x
    x = 4,009.03/56.65
  6. Step 6: Final answer
    x = 70.77

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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.