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Finding the Fourth Proportional to 52.45, 78.16 and 47.07

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Solution

The fourth proportional to 52.45, 78.16 and 47.07 is: 70.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.45 : 78.16 = 47.07 : x
  2. Step 2: Convert to fraction form
    52.45/78.16 = 47.07/x
  3. Step 3: Cross multiply
    52.45x = 78.16 × 47.07
  4. Step 4: Simplify right side
    52.45x = 3,678.99
  5. Step 5: Solve for x
    x = 3,678.99/52.45
  6. Step 6: Final answer
    x = 70.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.