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Finding the Fourth Proportional to 74.64, 102.84 and 56.16

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Solution

The fourth proportional to 74.64, 102.84 and 56.16 is: 77.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.64 : 102.84 = 56.16 : x
  2. Step 2: Convert to fraction form
    74.64/102.84 = 56.16/x
  3. Step 3: Cross multiply
    74.64x = 102.84 × 56.16
  4. Step 4: Simplify right side
    74.64x = 5,775.49
  5. Step 5: Solve for x
    x = 5,775.49/74.64
  6. Step 6: Final answer
    x = 77.38

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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.