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Finding the Fourth Proportional to 37.07, 56.00 and 37.07

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Solution

The fourth proportional to 37.07, 56.00 and 37.07 is: 56.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.07 : 56.00 = 37.07 : x
  2. Step 2: Convert to fraction form
    37.07/56.00 = 37.07/x
  3. Step 3: Cross multiply
    37.07x = 56.00 × 37.07
  4. Step 4: Simplify right side
    37.07x = 2,075.45
  5. Step 5: Solve for x
    x = 2,075.45/37.07
  6. Step 6: Final answer
    x = 56.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.