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Finding the Fourth Proportional to 117.74, 176.64 and 48.32

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Solution

The fourth proportional to 117.74, 176.64 and 48.32 is: 72.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.74 : 176.64 = 48.32 : x
  2. Step 2: Convert to fraction form
    117.74/176.64 = 48.32/x
  3. Step 3: Cross multiply
    117.74x = 176.64 × 48.32
  4. Step 4: Simplify right side
    117.74x = 8,535.24
  5. Step 5: Solve for x
    x = 8,535.24/117.74
  6. Step 6: Final answer
    x = 72.49

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Why These Related Problems?

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