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Finding the Fourth Proportional to 74.19, 102.16 and 55.66

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Solution

The fourth proportional to 74.19, 102.16 and 55.66 is: 76.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.19 : 102.16 = 55.66 : x
  2. Step 2: Convert to fraction form
    74.19/102.16 = 55.66/x
  3. Step 3: Cross multiply
    74.19x = 102.16 × 55.66
  4. Step 4: Simplify right side
    74.19x = 5,686.23
  5. Step 5: Solve for x
    x = 5,686.23/74.19
  6. Step 6: Final answer
    x = 76.64

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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.