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Finding the Fourth Proportional to 74.61, 102.88 and 56.16

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Solution

The fourth proportional to 74.61, 102.88 and 56.16 is: 77.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.61 : 102.88 = 56.16 : x
  2. Step 2: Convert to fraction form
    74.61/102.88 = 56.16/x
  3. Step 3: Cross multiply
    74.61x = 102.88 × 56.16
  4. Step 4: Simplify right side
    74.61x = 5,777.74
  5. Step 5: Solve for x
    x = 5,777.74/74.61
  6. Step 6: Final answer
    x = 77.44

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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.