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Finding the Fourth Proportional to 73.51, 101.29 and 57.10

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Solution

The fourth proportional to 73.51, 101.29 and 57.10 is: 78.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.51 : 101.29 = 57.10 : x
  2. Step 2: Convert to fraction form
    73.51/101.29 = 57.10/x
  3. Step 3: Cross multiply
    73.51x = 101.29 × 57.10
  4. Step 4: Simplify right side
    73.51x = 5,783.91
  5. Step 5: Solve for x
    x = 5,783.91/73.51
  6. Step 6: Final answer
    x = 78.69

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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.