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Finding the Fourth Proportional to 76.16, 105 and 54.32

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Solution

The fourth proportional to 76.16, 105 and 54.32 is: 74.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.16 : 105 = 54.32 : x
  2. Step 2: Convert to fraction form
    76.16/105 = 54.32/x
  3. Step 3: Cross multiply
    76.16x = 105 × 54.32
  4. Step 4: Simplify right side
    76.16x = 5,703.60
  5. Step 5: Solve for x
    x = 5,703.60/76.16
  6. Step 6: Final answer
    x = 74.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.