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Finding the Fourth Proportional to 52.50, 72.58 and 47.02

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Solution

The fourth proportional to 52.50, 72.58 and 47.02 is: 65.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.50 : 72.58 = 47.02 : x
  2. Step 2: Convert to fraction form
    52.50/72.58 = 47.02/x
  3. Step 3: Cross multiply
    52.50x = 72.58 × 47.02
  4. Step 4: Simplify right side
    52.50x = 3,412.71
  5. Step 5: Solve for x
    x = 3,412.71/52.50
  6. Step 6: Final answer
    x = 65.00

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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.