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Finding the Fourth Proportional to 58.53, 88.14 and 53.17

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Solution

The fourth proportional to 58.53, 88.14 and 53.17 is: 80.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.53 : 88.14 = 53.17 : x
  2. Step 2: Convert to fraction form
    58.53/88.14 = 53.17/x
  3. Step 3: Cross multiply
    58.53x = 88.14 × 53.17
  4. Step 4: Simplify right side
    58.53x = 4,686.40
  5. Step 5: Solve for x
    x = 4,686.40/58.53
  6. Step 6: Final answer
    x = 80.07

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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.