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Finding the Fourth Proportional to 52.30, 78.36 and 42.16

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Solution

The fourth proportional to 52.30, 78.36 and 42.16 is: 63.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.30 : 78.36 = 42.16 : x
  2. Step 2: Convert to fraction form
    52.30/78.36 = 42.16/x
  3. Step 3: Cross multiply
    52.30x = 78.36 × 42.16
  4. Step 4: Simplify right side
    52.30x = 3,303.66
  5. Step 5: Solve for x
    x = 3,303.66/52.30
  6. Step 6: Final answer
    x = 63.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.